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Gauge-invariant non-local scalar and field strength operators have been argued to have significance, e.g., as a way to determine the behaviour of the screened static potential at large distances, as order parameters for confinement, as…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , O. Philipsen

The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We continue the study of the effective action for low $x$ physics based on a Wilson renormalization group approach. We express the full nonlinear renormalization group equation in terms of the average value and the average fluctuation of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jamal Jalilian - Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

We consider noncommutative gauge theory defined by means of Seiberg-Witten maps for an arbitrary semisimple gauge group. We compute the one-loop UV divergent matter contributions to the gauge field effective action to all orders in the…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Martin , C. Tamarit

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

A certain conformally invariant N=1 supersymmetric SU(n) gauge theory has a description as an infra-red fixed point obtained by deforming the N=4 supersymmetric Yang-Mills theory by giving a mass to one of its N=1 chiral multiplets. We…

High Energy Physics - Theory · Physics 2010-02-03 Dominic Brecher , Clifford V. Johnson , Kenneth J. Lovis , Robert C. Myers

The one--loop effective action for a slowly varying electromagnetic field is computed at finite temperature and density using a real-time formalism. We discuss the gauge invariance of the result. Corrections to the Debye mass from an…

High Energy Physics - Theory · Physics 2009-10-28 Per Elmfors , Bo-Sture Skagerstam

The full gluon propagator relevant for the description of the truly non-perturbative QCD dynamics, the so-called intrinsically non-perturbative gluon propagator has been derived in our previous work. It explicitly depends on the regularized…

High Energy Physics - Phenomenology · Physics 2009-12-15 V. Gogokhia

We compute the bare step-scaling function $s_b$ for SU(3) lattice gauge theory with $N_f = 12$ massless fundamental fermions, using the non-perturbative Wilson-flow-optimized Monte Carlo Renormalization Group two-lattice matching technique.…

High Energy Physics - Lattice · Physics 2022-09-21 Gregory Petropoulos , Anqi Cheng , Anna Hasenfratz , David Schaich

Matrix models for the deconfining phase transition in $SU(N)$ gauge theories have been developed in recent years. With a few parameters, these models are able to reproduce the lattice results of the thermodynamic quantities in the…

High Energy Physics - Phenomenology · Physics 2014-12-01 Yun Guo

We revise the $SU(N_c)$, $N_c=3,4,6$, lattice data on pure gauge theories at finite temperature by means of a quasi-particle approach. In particular we focus on the relation between the quasi-particle effective mass and the order of the…

High Energy Physics - Phenomenology · Physics 2015-05-28 P. Castorina , V. Greco , D. Jaccarino , D. Zappalà

We study the detailed properties of Z_2 domain walls in the deconfined high temperature phase of the d=2+1 SU(2) gauge theory. These walls are studied both by computer simulations of the lattice theory and by one-loop perturbative…

High Energy Physics - Lattice · Physics 2016-08-24 C. Korthals Altes , A. Michels , M. Stephanov , M. Teper

We prove the perturbative renormalisability of pure SU(2) Yang-Mills theory in the abelian gauge supplemented with mass terms. Whereas mass terms for the gauge fields charged under the diagonal U(1) allow to preserve the standard form of…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

We develop an inverse matrix method to solve for resonance masses from a dispersion relation obeyed by a correlation function. Given the operator product expansion (OPE) of a correlation function in the deep Euclidean region, we obtain the…

High Energy Physics - Phenomenology · Physics 2022-01-05 Hsiang-nan Li

We study the perturbative approach to the Wilsonian integration of noncommutative gauge theories in the matrix representation. We begin by motivating the study of noncommutative gauge theories and reviewing the matrix formulation. We then…

High Energy Physics - Theory · Physics 2007-05-23 Eric Nicholson

The formulation of a grand unified field theory based on the nonlinearly realized SU(5) gauge group is presented. The tree-level action is constructed by requiring invariance under local left SU(5) gauge transformations, the existence of a…

High Energy Physics - Phenomenology · Physics 2012-10-05 Daniele Bettinelli , Ruggero Ferrari , Alessandro Sanzeni

The continuous block spin (Wilson) renormalization group equation governing the scale dependence of the action is constructed for theories containing scalars and fermions. A locally approximated form of this equation detailing the structure…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. E. Clark , B. Haeri , S. T. Love

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

We perform the step-scaling investigation of the running coupling constant, using the gradient-flow scheme, in SU(3) gauge theory with twelve massless fermions in the fundamental representation. The Wilson plaquette gauge action and…

High Energy Physics - Lattice · Physics 2015-12-18 C. -J. David Lin , Kenji Ogawa , Alberto Ramos

Effective theories for the thermal Wilson line are constructed in an SU(N) gauge theory at nonzero temperature. I propose that the order of the deconfining phase transition for Z(N) Wilson lines is governed by the behavior of SU(N) Wilson…

High Energy Physics - Phenomenology · Physics 2009-12-30 Robert D. Pisarski