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We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of N $$ mathcal{N} $$ = 2, SU(2) super Yang-Mills theory, which is closely related to the modified Mathieu operator. The first approach is based on the quantum WKB periods and their resurgent properties. We show that these properties are encoded in the TBA equations of Gaiotto-Moore-Neitzke ...
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Introduction to the Yang-Mills quantul~i theory R. Jackiw" Centro de Investigation deh LP.N., Apartado Postaf )4-74D,Mexico 14, D.I'. A pedagogical discussion of the Yang-Mills quantum theory is presented. A somewhat unconventional description makes use of physical, quantum-mechanical ideas, rather than of formal, mathematical developments. The purpose is to highlight those aspects ofthe model ...
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The U.S. Department of Energy's Office of Scientific and Technical Information
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Yang-Mills theory. For the usual value of the QCD cou-pling constant, with N=3, our predicted value of 1.67 GeV is seen to be in good agreement with a valence lat-tice calculation. We also compute the mass gap for the supersymmetric SU(3) and SU(N) Yang-Mills theories. In the latter case, the starting beta function does not re-quire any conjecture.
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We review and explain essential characteristics of the a priori estimate of the thermal ground state and its excitations in the deconfining phase of SU(2) Quantum Yang-Mills thermodynamics. This includes the spatially central and peripheral structure of Harrington-Shepard (anti)calorons, a sketch on how a spatial coarse-graining over (anti)caloron centers yields an inert scalar field, which is ...
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Verifying the Kugo-Ojima confinement criterion in Landau gauge Yang-Mills theory. ... Nonperturbative approach to quantum chromodynamics. Pagels. Physical Review D, (10) 1977 Running coupling in nonperturbative QCD: Bare vertices and y-max approximation. Atkinson. Physical Review D, (9) 1998 Infrared Behavior of Gluon and Ghost Propagators in ...
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The Thermodynamics of Quantum Yang-Mills Theory by Ralf Hofmann 470pp (approx.) 978-981-4329-04- This book aims to provide advanced students and researchers with the text on a nonperturbative, thermodynamically grounded, and largely analytical approach to four-dimensional Quantum Gauge Theory.
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A nonperturbative analysis of the infrared asymptotics of propagators in any spatial dimension follows, and a connection to the Landau gauge is given. In the Coulomb gauge Hamiltonian approach, a linearly rising static color Coulomb potential is found, along with an infrared diverging gluon energy, both signaling confinement.
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The comparison of calculations methods in nonperturbative quantum fields theory and turbulence theory is made. The main result is that in both cases there is an infinite equations set. In the first case it is the equations set for Green's functions and in the second case it is the equations set for cumulants. It allows us to use similar mathematical methods to solve problems in nonperturbative ...
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An analytical and nonperturbative approach to SU(2) and SU(3) Yang-Mills thermo-dynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one. We show how macroscopic and inert scalar fields emerge in each phase and how they determine the ground-state physics and the proper-
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In [1, 2] one of us has put forward an analytical and nonperturbative approach to SU(2)/SU(3) Yang-Mills thermodynamics. Each of these theories comes in three phases: deconfining (electric phase), preconfining (magnetic phase), and completely confining (center phase).
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The purpose of this paper is to report in a detailed way1 on a nonperturbative and analytical approach to the thermodynamics of SU (N) Yang-Mills theory (see [20] for intermediate stages). Conceptually, this approach is similar to the macro- scopic Landau-Ginzburg-Abrikosov (LGA) theory for superconductivity in metals [21, 22].
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This book aims to provide advanced students and researchers with the text on a nonperturbative, thermodynamically grounded, and largely analytical approach to four-dimensional Quantum Gauge Theory. The terrestrial, astrophysical, and cosmological applications, mostly within the realm of low-temperature photon physics, are treated
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This two-week workshop will bring together researchers from multiple subfields of theoretical condensed matter and particle physics, focused on the shared goal of solving strongly-coupled systems. We plan to cover recent advances in many different approaches to quantum field theory, including Hamiltonian truncation, tensor networks, bootstrap methods, resurgence, and lattice field theory. The ...
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In 1, 2 one of us has put forward an analytical and nonperturbative approach to SU 2 /SU 3 Yang-Mills thermodynamics. Each of these theories comes in three phases: deconfining electric phase, preconfining magnetic phase, and completely confining center phase . This approach assumes the existence of a composite, adjoint Higgs field φ,
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physics of Yang-Mills theory is a core motivation to con-sider approaches other than Monte Carlo. Impressive analytic progress towards understanding the low-energy physics of pure Yang-Mills theory has been made in the past half century [5]. However, there are still some mysteries that deserve further investiga-tion.
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Geometrical hints for a nonperturbative approach to Hamiltonian dynamics. Pettini M ... A First Analytical Step towards the Definition of Sufficient Conditions. Di Cairano L ... Riemannian geometric approach to chaos in SU(2) Yang-Mills theory. Kawabe T, Koyanagi S. Phys Rev E Stat Nonlin Soft Matter Phys, 77(3 pt 2) ...
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The approach is based on a representation of the theory on a space-time lattice. Monte-Carlo simulations provide an insight into the nonperturbative sector of the quantum field theory. Especially gauge theories with dynamical fermions like QCD and supersymmetric Yang-Mills theory in four dimensions are complex systems.
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We describe and solve a double scaling limit of large N Yang-Mills theory on a two-dimensional torus, inspired by noncommutative geometry. We find the exact strong-coupling expansion of the free-energy in this limit and describe its relation to the con-ventional Gross-Taylor string theory. Our approach is based on the solutions of certain
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2. Nonperturbative Approach to Quantum Gravity Many more details on the nonperturbative approach to quantum gravity used in this paper can be found in a number of earlier works [16,17], and many references therein. The current section will therefore only serve to summarize the key points and main results which will become relevant for the
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The trace anomaly or, equivalently, the interaction measure is an important thermodynamic quantity/observable, since it is very sensitive to the nonperturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to the SU(3) Yang-Mills (YM) quantum gauge theory at ...
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The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a T matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasiparticles in a many-body setup), is analyzed in a nonperturbative scattering formalism with the input of lattice-QCD static potentials. Glueballs are actually found to be bound up to 1.3 ...
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Non-Perturbative Approach to Pure Yang-Mills Theory in 2 + 1 Dimensions Robert Schneider 15 June 2011 Advisor: Prof. Dr. Stefan Hofmann. A great deal more is known than has been proved. (Richard P. Feynman) Abstract In this thesis a proposal by Leigh, Minic and Yelnikov for the analytic computation of the glueball mass spectrum of pure Yang ...
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Nonperturbative Quantum Effects 2000 PROCEEDINGS Statistical Physics Approach to M-theory Integrals ∗ ... We explain the concepts of computational statistical physics which have proven very helpful in the study of Yang-Mills integrals, an ubiquitous new class of matrix models. ... it has been possible to resolve controversies between ...
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Nonperturbative and analytical approach to Yang-Mills thermodynamics. Seminar-Talk, 20 April 2004, Universität Bielfeld. Nonperturbative and analytical approach to Yang-Mills thermodynamics. Ralf Hofmann, Universität Heidelberg. Motivation for nonperturbative approach to SU(N) Yang-Mills theory. Construction of an effective theory. By jemima
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Nonperturbative Approach to Yang-Mills Thermodynamics Hofmann, Ralf An analytical and nonperturbative approach to SU (2) and SU (3) Yang-Mills thermodynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one.
Get priceThe path-integral approach to quantum field theory assigns special importance to finite action Euclidean solutions of classical field equations. In Yang-Mills gauge theories, the instanton solutions of classical field equations with self-dual field strength have given rise to a new, nonperturbative treatment of the quantum field theory and its ...
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Nonperturbative QCD Calculations by Niklas Dellby M. S., Link6ping Institute of Technology, 1985 ... The research described in this thesis is an exact transformation of the Yang-Mills quan-tum chromodynamics (QCD) Lagrangian into a form that is suitable for nonperturbative ... More similar to our approach is that of Halpern (1977) which was a ...
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The success of the screened massive expansion is investigated in the framework of a screened momentum-subtraction scheme for the running of the strong coupling in pure Yang-Mills theory. By the exact Slavnov-Taylor and Nielsen identities, a very predictive and self-contained set of stationary conditions are derived for the optimization of the fixed-coupling expansion, yielding explicit ...
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An Introduction to the Nonperturbative Renormalization Group. B. Delamotte. Published 15 February 2007. Physics. Lecture Notes in Physics. We give in these notes a short presentation of both the main ideas underlying Wilson's renormalization group (RG) and their concrete implementation under the form of what is now called the non-perturbative ...
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Universität Heidelberg Abstract and Figures An analytical and nonperturbative approach to SU (2) and SU (3) Yang-Mills thermodynamics is developed and applied. Each theory comes in three phases: A...
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The formalism has proven to be useful in numerous problems in gravitational physics. In quantum gravity, the new formalism has overcome long-standing difficulties and led to unexpected results. A nonperturbative approach to quantum theory has been constructed in terms of the Wilson loops of the Ashtekar connection.
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David Simmons-Duffin is an associate professor at Caltech. David received his PhD from Harvard in 2012, and was a member of the School of Natural Sciences at the Institute for Advanced Study from 2012-2017. His research is on strongly-coupled quantum field theories, with a focus on conformal field theories and their applications.
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The U.S. Department of Energy's Office of Scientific and Technical Information
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Recently an electric and magnetic field correlator appearing in the description of the heavy quarkonium system was evaluated on the lattice. Here, we give a nonperturbative analytical evaluation of this field correlator using a dual description of long distance Yang--Mills theory and using the stochastic vacuum model. The two predictions are both compatible with lattice data but show a ...
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The Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory. ... Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces, Journal für die reine und angewandte ... A spectral curve approach to Lawson symmetric CMC surfaces of genus 2, Mathematische Annalen, 10. ...
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I use both analytical methods and numerical techniques to study the physics of these systems. ... A standard tool to investigate numerous nonperturbative features of quantum field theoretic systems is the Monte Carlo simulations of a lattice regularized version of the field theory path integral. ..., ``Lattice formulation of N = 2* Yang-Mills ...
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Analytical Approach to SU(2) Yang-Mills Thermodynamics. Strong and Electroweak Matter 2004, 2005. Ralf Hofmann. Download Download PDF. Full PDF Package Download Full PDF Package. This Paper. A short summary of this paper. 37 Full PDFs related to this paper. Read Paper. Download Download PDF.
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approaches where hydrodynamics and fluctuations are formulated through an e↵ective ac-tion, and finally, to develop tools to analyze the asymptotic nature of the all-orders gradient ... • resurgence: saddle points are related by analytic continuation, so ... • Yang-Mills theory and QCD have aspects of both systems
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approaches other than Monte Carlo. Impressive analytic progress towards understanding the low-energy physics of pure Yang-Mills theory has been made in the past half century [5]. However, there are still some mysteries that deserve further investigation. One important problem is to describe, nonperturbatively, the
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