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We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a…

High Energy Physics - Lattice · Physics 2015-05-12 Oscar Akerlund , Philippe de Forcrand

I investigate an SU(3) gauge model with 12 fundamental fermions. The physically interesting region of this strongly coupled system can be influenced by an ultraviolet fixed point due to lattice artifacts. I suggest to use a gauge action…

High Energy Physics - Lattice · Physics 2013-05-30 Anna Hasenfratz

We discuss the connection between various types of improved actions in the context of the two-dimensional sigma-model. We also discuss spectrum-improved actions showing that these actions do not have any improved behaviour. An O(a^2)…

High Energy Physics - Lattice · Physics 2009-10-28 Sergio Caracciolo , Andrea Pelissetto

Complex action problems coming from either a chemical potential or a topological term have been solved for several models in recent years by mapping them to so-called dual degrees of freedom. In terms of these dual variables the partition…

High Energy Physics - Lattice · Physics 2015-12-04 Christof Gattringer , Thomas Kloiber , Vasily Sazonov

We study a system of nanowires, i.e., the theory of 1+1 dimensional massless fermions interacting with 3+1 dimensional U(1) gauge fields. When allowing for non-zero chemical potentials, this system has a complex action problem in the…

High Energy Physics - Lattice · Physics 2016-02-24 Christof Gattringer , Vasily Sazonov

We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Vit Jakubsky , David Krejcirik

We present a general formalism for simplifying manipulations of spin indices of massless and massive spinors and vectors in Feynman diagrams. The formalism is based on covariantly reducing the number of field components in the action in…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Chalmers , W. Siegel

We show that, in 1+1 dimensional gauge theories, a heavy probe charge is screened by dynamical massless fermions both in the case when the source and the dynamical fermions belong to the same representation of the gauge group and,…

High Energy Physics - Theory · Physics 2009-10-28 D. J. Gross , I. R. Klebanov , A. V. Matytsin , A. V. Smilga

We show that certain classical SU(2) pure gauge configurations give rise to a non-zero string tension. We then investigate cooled configurations generated by Monte Carlo simulations on the lattice and find similar properties. We infer…

High Energy Physics - Theory · Physics 2008-11-26 A. Gonzalez-Arroyo , A. Montero

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

The dually transformed path integral of four-dimensional U(1) lattice gauge theory is used for the calculation of expectation values in the presence of external charges. Applying the dual simulation to flux tubes for charge distances up to…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We investigate the interplay between confinement and the fermion doubling problem in Dirac-like Hamiltonians. Individually, both features are well known. First, simple electrostatic gates do not confine electrons due to the Klein tunneling.…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 B. Messias de Resende , F. Crasto de Lima , R. H. Miwa , E. Vernek , G. J. Ferreira

We introduced here the study of a QCD based on a complex group. Our aim is to show that a gauge theory with a complex symmetry develops some of the features required for the description of a confined phase. This theory leads to gluons with…

High Energy Physics - Theory · Physics 2020-05-13 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

Recent work has shown that two seemingly different physical mechanisms, namely fracton behavior and confinement, can give rise to non-ergodicity in one-dimensional quantum many-body systems. In this work, we demonstrate an intrinsic link…

Strongly Correlated Electrons · Physics 2020-02-05 Shriya Pai , Michael Pretko

The problem of confinement of neutral fermions in two-dimensional space-time is approached with a pseudoscalar double-step potential in the Dirac equation. Bound-state solutions are obtained when the coupling is of sufficient intensity. The…

High Energy Physics - Theory · Physics 2009-11-10 Antonio S. de Castro , Wiliam G. Pereira

We present SU(3) gluon propagators calculated on 48*48*48*N_t lattices at beta=6.8 where N_t=64 (corresponding the confinement phase) and N_t=16 (deconfinement) with the bare gauge parameter,alpha, set to be 0.1. In order to avoid Gribov…

High Energy Physics - Lattice · Physics 2016-11-03 A. Nakamura , H. Aiso , M. Fukuda , T. Iwamiya , T. Nakamura , M. Yoshida

We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J…

High Energy Physics - Theory · Physics 2016-09-06 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)], both for dynamical fermions and in the quenched approximation. (\Theta_P denotes the…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersák , C. B. Lang , T. Neuhaus

The confinement problem is studied using the thick center vortex model. It is shown that the $SU(3)$ Cartan sub algebra of the decomposed $G(2)$ gauge theory can play an important role in the confinement. The Casimir eigenvalues and ratios…

High Energy Physics - Theory · Physics 2018-03-12 Hadi Lookzadeh