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We argue that, ideally, the ways to measure magnitudes in non-quantum theories of physics (spacetime, field theory), limit drastically their possible mathematical models. In particular, gauge invariance in the Yang-Mills framework, is a…

Mathematical Physics · Physics 2008-03-12 Miguel Sánchez

Entanglement entropy is a notoriously difficult quantity to compute in strongly interacting gauge theories. Existing lattice replica methods have suffered from a severe signal-to-noise ratio problem, making high-precision studies…

High Energy Physics - Theory · Physics 2023-01-11 Niko Jokela , Arttu Pönni , Kari Rummukainen , Tobias Rindlisbacher , Ahmed Salami

Using the results and techniques of a previous paper where we proved the quantization of gravity we extend the former result by adding a Yang-Mills functional and a Higgs term to the Einstein-Hilbert action.

High Energy Physics - Theory · Physics 2014-11-26 Claus Gerhardt

We study quantized Yang-Mills theory with massive vector fields in the framework of causal perturbation theory. The most general form of the interaction which is invariant under operator gauge transformations is pointed out. The generator…

High Energy Physics - Theory · Physics 2007-05-23 Frank Krahe

We treat the fluctuations of non-Abelian gauge fields around a classical configuration by means of a transformation from the Yang--Mills gauge field to a homogeneously transforming field variable. We use the formalism to compute the…

High Energy Physics - Theory · Physics 2009-07-30 Dennis D. Dietrich

We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the…

High Energy Physics - Theory · Physics 2024-03-26 Leonardo Santilli , Richard J. Szabo

The BCJ decomposition is a highly non-trivial property of gauge theories. In this paper we systematically construct an effective Lagrangian, whose Feynman rules automatically produce the BCJ numerators. The effective Lagrangian contains…

High Energy Physics - Theory · Physics 2021-01-13 Mathias Tolotti , Stefan Weinzierl

We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different…

High Energy Physics - Theory · Physics 2011-02-02 Markus Leder , Jan M. Pawlowski , Hugo Reinhardt , Axel Weber

Using gauge/gravity duality, we study the creation and evolution of anisotropic, homogeneous strongly coupled $\mathcal N=4$ supersymmetric Yang-Mills plasma. In the dual gravitational description, this corresponds to horizon formation in a…

High Energy Physics - Theory · Physics 2009-07-21 Paul M. Chesler , Laurence G. Yaffe

We show how to formulate the phenomenon of gaugino condensation in a super-Yang-Mills theory with a field-dependent gauge coupling described with a linear multiplet. We prove the duality equivalence of this approach with the more familiar…

High Energy Physics - Theory · Physics 2016-09-06 C. P. Burgess , J. -P. Derendinger , F. Quevedo , M. Quiros

We study the regularization and renormalization of the Yang-Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli-Villars fields. Unphysical…

High Energy Physics - Theory · Physics 2009-10-31 Koh-ichi Nittoh

We quantize abelian Yang-Mills theory on Riemannian manifolds with boundaries in any dimension. The quantization proceeds in two steps. First, the classical theory is encoded into an axiomatic form describing solution spaces associated to…

High Energy Physics - Theory · Physics 2018-09-28 Homero G. Díaz-Marín , Robert Oeckl

Non-abelian gauge theories in the context of generalized complex geometry are discussed. The generalized connection naturally contains standard gauge and scalar fields, unified in a purely geometric way. We define the corresponding…

High Energy Physics - Theory · Physics 2014-06-25 Athanasios Chatzistavrakidis , Fridrik Freyr Gautason

We revisit the issue of the correct Lagrangian description of a perfect fluid (pressure versus minus energy density) in relation with modified gravity theories in which galactic luminous matter couples nonminimally to the Ricci scalar.…

Astrophysics of Galaxies · Physics 2010-04-23 Valerio Faraoni

We consider a variational approach to the finite temperature Yang-Mills theory in the Coulomb gauge. The partition function is computed in the ensemble of glueballs and quasi-gluons which emerge as eigenstates of the Coulomb gauge…

High Energy Physics - Theory · Physics 2013-05-30 Tochtli Yepez Martinez , Adam P. Szczepaniak , Hugo Reinhardt

Novel Lagrangians are discussed in which (non-abelian) electric and magnetic gauge fields appear on a par. To ensure that these Lagrangians describe the correct number of degrees of freedom, tensor gauge fields are included with…

High Energy Physics - Theory · Physics 2009-11-11 Bernard de Wit , Henning Samtleben , Mario Trigiante

Yang-Mills fields are an important part of the non-Abelian space theory describing the properties of quark-gluon plasma. The dynamics of the classical fields are given by the Hamiltonian equations of motion, which contain the member of the…

Chaotic Dynamics · Physics 2022-01-19 Agnes Fulop

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice…

High Energy Physics - Lattice · Physics 2016-06-21 Hiroki Makino , Hiroshi Suzuki

A prescription for center gauge fixing for pure Yang-Mills theory in the continuum with general gauge groups is presented. The emergence of various types of singularities (magnetic monopoles and center vortices) appearing in the course of…

High Energy Physics - Theory · Physics 2014-11-18 H. Reinhardt , T. Tok

The canonical quantization is performed at a light-front surface for the SU(N) Yang-Mills theory. The Weyl gauge is imposed as a gauge condition. The suitable parameterization is chosen for the transverse gauge field components in order to…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski