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We use a gauge-invariant effective action defined in terms of the lattice Schroedinger functional to investigate vacuum dynamics and confinement in pure lattice gauge theories. After a brief introduction to the method, we report some…

High Energy Physics - Lattice · Physics 2017-08-23 Paolo Cea , Leonardo Cosmai

We report on Monte Carlo simulations focused on elucidating the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional…

High Energy Physics - Lattice · Physics 2012-11-16 Simon Catterall , Aarti Veernala

The sign problem is a major obstacle to our understanding of the phase diagram of QCD at finite baryon density. Several numerical methods have been proposed to tackle this problem, but a full solution to the sign problem is still elusive.…

High Energy Physics - Lattice · Physics 2015-06-24 Helvio Vairinhos , Philippe de Forcrand

We discuss compact (2+1)-dimensional Maxwell electrodynamics coupled to fermionic matter with N replica. For large enough N, the latter corresponds to an effective theory for the nearest neighbor SU(N) Heisenberg antiferromagnet, in which…

Strongly Correlated Electrons · Physics 2008-11-26 Flavio S. Nogueira , Hagen Kleinert

In this paper we study 3d $\mathcal{N}=2$ $SU(N)$ confining gauge theories with a matter field in the rank-two index symmetric representation. The models found here are obtained from the application of the duplication formula for hyperbolic…

High Energy Physics - Theory · Physics 2025-05-01 Antonio Amariti , Fabio Mantegazza

We show that gauge invariant composites in the fermionic realization of $SU(N)_1$ conformal field theory explicitly exhibit the holomorphic factorization of the corresponding WZW primaries. In the $SU(2)_1$ case we show that the holomorphic…

High Energy Physics - Theory · Physics 2009-10-30 Daniel C. Cabra , Gerardo L. Rossini

We present the investigation of the strong bare-coupling regime of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation. The simulations are performed with unimproved staggered fermions and the plaquette gauge…

High Energy Physics - Lattice · Physics 2014-12-18 Cynthia Y. -H. Huang , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Enrico Rinaldi

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the…

High Energy Physics - Theory · Physics 2011-08-23 Silvio Paolo Sorella

We investigate the effective action of 2+1 dimensional charged spin 1/2 fermions and spin 0 bosons in the presence of a $U(1)$ gauge field. We evaluate terms in an expansion up to second order in derivatives of the field strength, but…

High Energy Physics - Theory · Physics 2009-12-30 Daniel Cangemi , Gerald Dunne , Eric D'Hoker

Figure 1 and Figure 2(right) are replaced and the slope parameter $\alpha_D$ is corrected to -0.4.

High Energy Physics - Lattice · Physics 2009-11-07 Hideo Nakajima , Sadataka Furui

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

We investigate the quantization of pure U(1) and U(2) gauge theories in the vicinity of non-trivial ground state in four-dimensional Euclidean space-time. The main goal is to make the simultaneous consideration of many vacuums possible. It…

High Energy Physics - Theory · Physics 2010-12-02 M. N. Stoilov

The research of strongly coupled beyond-the-standard-model theories has generated significant interest in non-abelian gauge field theories with different number of fermions in different representations. Motivated by the increased interest…

High Energy Physics - Lattice · Physics 2010-11-11 Anne Mykkanen , Jarno Rantaharju , Kari Rummukainen , Tuomas Karavirta , Kimmo Tuominen

We show how an experimentally realized set of operations on a single trapped ion is sufficient to simulate a wide class of Hamiltonians of a spin-1/2 particle in an external potential. This system is also able to simulate other physical…

To help understand the centre dominance picture of confinement, we look at Wilson loop distributions in pure SU(2) lattice gauge theory. A strong coupling approximation for the distribution is developed to use for comparisons. We perform a…

High Energy Physics - Lattice · Physics 2009-10-31 P. W. Stephenson

We study the coupling constant renormalization of gauge theories with an infinite multiplet of fermions, using the zeta function method to make sense of the infinite sums over fermions. If the gauge group K is the maximal compact subgroup…

High Energy Physics - Theory · Physics 2024-03-29 S. G. Rajeev

SU(3) gauge theory coupled to N_f = 2 fermions in the sextet representation is a promising candidate for a technicolor inspired Standard Model extension. In this note the progress in the past few years aimed at understanding the…

High Energy Physics - Lattice · Physics 2012-06-01 Daniel Nogradi

We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Cougo-Pinto , C. Farina , A. Tort , J. Rafelski

These lectures cover two aspects: first, irrespectively of the particular approach followed to tackle the QCD phase diagram, we introduce some tools that help discussing the confinement/deconfinement transition in the continuum; second,…

High Energy Physics - Phenomenology · Physics 2024-04-10 Urko Reinosa

Coupling dynamical charges to gauge fields can result in highly non-local interactions with a linear confining potential. As a consequence, individual particles bind into mesons which, in one dimension, become the new constituents of…