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We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We…

High Energy Physics - Theory · Physics 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut

The optical memory effect is a well-known type of wave correlation that is observed in coherent fields that scatter through thin and diffusive materials, like biological tissue. It is a fundamental physical property of scattering media that…

We show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of…

High Energy Physics - Theory · Physics 2021-11-18 Clifford Cheung , James Mangan

We study a method to obtain invariants under area-preserving diffeomorphisms associated to closed curves in the plane from classical Yang-Mills theory in two dimensions. Taking as starting point the Yang-Mills field coupled to non dynamical…

High Energy Physics - Theory · Physics 2016-08-16 Rafael Díaz , E. Fuenmayor , Lorenzo Leal

A systematic study of the Weyl-type / Yang-Mills-type action possessing local conformal invariance and quadratic curvature is undertaken. The dynamical breaking of this conformal invariance / scale invariance induces general relativity (GR)…

General Physics · Physics 2016-09-01 O. F. Akinto , Farida Tahir

In neutral cold quark matter that is sufficiently dense that the strange quark mass M_s is unimportant, all nine quarks (three colors; three flavors) pair in a color-flavor locked (CFL) pattern, and all fermionic quasiparticles have a gap.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Mark Alford , Chris Kouvaris , Krishna Rajagopal

We investigate frequency correlations in multiple scattered light that are present in the quantum fluctuations. The memory effect for quantum and classical noise is compared, and found to have markedly different frequency scaling, which was…

Quantum Physics · Physics 2009-11-11 P. Lodahl

After a short introduction on the theory of homogeneous algebras we describe the application of this theory to the analysis of the cubic Yang-Mills algebra, the quadratic self-duality algebras, their "super" versions as well as to some…

Mathematical Physics · Physics 2007-05-23 Alain Connes , Michel Dubois-Violette

We study quasipolynomials enumerating proper colorings, nowhere-zero tensions, and nowhere-zero flows in an arbitrary CW-complex $X$, generalizing the chromatic, tension and flow polynomials of a graph. Our colorings, tensions and flows may…

Combinatorics · Mathematics 2016-06-07 Matthias Beck , Felix Breuer , Logan Godkin , Jeremy L. Martin

Yang-Mills color fields evolve chaotically in an anisotropically expanding universe. The chaotic behaviour differs from that found in anisotropic Mixmaster universes. The universe isotropizes at late times, approaching the mean expansion…

General Relativity and Quantum Cosmology · Physics 2009-10-30 John D. Barrow , Janna Levin

Starting out from the recently established quantum correlation function expression of the characteristic function for the work performed by a force protocol on the system [cond-mat/0703213] the quantum version of the Crooks fluctuation…

Statistical Mechanics · Physics 2007-06-21 Peter Talkner , Peter Hanggi

Color/kinematics duality and the double-copy construction have proved to be systematic tools for gaining new insight into gravitational theories. Extending our earlier work, in this paper we introduce new double-copy constructions for large…

High Energy Physics - Theory · Physics 2017-08-25 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We construct a novel flux tube entanglement entropy (FTE$^2$), defined as the excess entanglement entropy relative to the vacuum of a region of color flux stretching between a heavy quark-anti-quark pair in pure gauge Yang-Mills theory. We…

High Energy Physics - Lattice · Physics 2024-10-02 Rocco Amorosso , Sergey Syritsyn , Raju Venugopalan

We extend quantum field theory by including purely virtual "cloud" sectors, to define physical off-shell correlation functions of gauge invariant quark and gluon fields, without affecting the $S$ matrix amplitudes. The extension is made of…

High Energy Physics - Phenomenology · Physics 2023-06-30 Damiano Anselmi

A non-perturbative and mathematically rigorous quantum Yang-Mills theory on 4-dimensional Minkowski spacetime is set up in the functional framework of a complex nuclear Kree-Gelfand triple. It involves a symbolic calculus of operators with…

Mathematical Physics · Physics 2014-02-19 Alexander Dynin

A quantum algorithm of SU(N) Yang-Mills theory is formulated in terms of quantum circuits. It can nonperturbatively calculate the Dyson series and scattering amplitudes with polynomial complexity. The gauge fields in the interaction picture…

Quantum Physics · Physics 2021-06-16 De-Sheng Li , Chun-Wang Wu , Ming Zhong , Wei Wu , Ping-Xing Chen

We give a complete account of how soft gluon, massless quark, evolution equations in colour space originate, from a factorization into a hard cross section density operator and a soft function encoding measurements and the projection on…

High Energy Physics - Phenomenology · Physics 2023-08-02 Simon Plätzer

We study the temperature-dependence of the shear viscosity to entropy density ratio in pure Yang-Mills theory and in QCD with light and strange quarks within kinetic theory in the relaxation time approximation. As effective degrees of…

High Energy Physics - Phenomenology · Physics 2019-08-14 Valeriya Mykhaylova , Marcus Bluhm , Krzysztof Redlich , Chihiro Sasaki

The gauge-independent phenomenon of color confinement in Yang-Mills theory manifests itself differently in different gauges. Therefore, the gauge dependence of quantities related to the infrared structure of the theory becomes important for…

High Energy Physics - Lattice · Physics 2015-03-19 Axel Maas , Tereza Mendes , Stefan Olejnik

The planar scattering amplitudes of $\mathcal{N} = 4$ super-Yang--Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as having only logarithmic singularities and no poles at…

High Energy Physics - Theory · Physics 2018-09-26 Zvi Bern , Michael Enciso , Chia-Hsien Shen , Mao Zeng