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We construct a lattice theory with one exact supersymmetry which consists of fields transforming in both the adjoint and fundamental representations of a U(Nc) gauge group. In addition to gluons and gluinos, the theory contains Nf flavors…

High Energy Physics - Lattice · Physics 2018-04-18 Simon Catterall , Aarti Veernala

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

I study the fermionic $U(N)$ Gross-Neveu model at imaginary chemical potential and finite temperature for odd $d$ dimensions, in the strong coupling regime, by using the gap (saddle point) equation for the fermion condensate of the model.…

High Energy Physics - Theory · Physics 2023-09-04 Evangelos G. Filothodoros

We show that massless Kaehler-Dirac (KD) fermions exhibit a mixed gravitational anomaly involving an exact $U(1)$ symmetry which is unique to KD fields. Under this $U(1)$ symmetry the partition function transforms by a phase depending only…

High Energy Physics - Theory · Physics 2022-08-09 Nouman Butt , Simon Catterall , Arnab Pradhan , Goksu Can Toga

We study the SU(3) lattice gauge theory, with two flavors of sextet Wilson-clover fermions, near its finite-temperature phase transition. We find metastable states that have Wilson line expectation values whose complex phases are near 2pi/3…

High Energy Physics - Lattice · Physics 2010-01-27 Olga Machtey , Benjamin Svetitsky

In the possible scaling region for an SU(2) lattice chiral fermion advocated in {\it Nucl. Phys.} B486 (1997) 282, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite…

High Energy Physics - Lattice · Physics 2016-09-01 She-Sheng Xue

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be…

Strongly Correlated Electrons · Physics 2020-06-05 Lukas Janssen , Wei Wang , Michael M. Scherer , Zi Yang Meng , Xiao Yan Xu

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions. The phase transition is detected by measuring the free energy in presence of an abelian monopole background…

High Energy Physics - Lattice · Physics 2009-11-10 Paolo Cea , Leonardo Cosmai , Massimo D'Elia

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in…

Strongly Correlated Electrons · Physics 2020-05-15 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

We study strongly coupled lattice QCD with $N$ colors of staggered fermions in 3+1 dimensions. While mean field theory describes the low temperature behavior of this theory at large $N$, it fails in the scaling region close to the finite…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Costas G. Strouthos

We introduce the \emph{flavoured lattice Schwinger model}, a $(1{+}1)$-dimensional $U(1)$ lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\mathbb{Z}_{2}$ flavour degree of freedom rather than…

High Energy Physics - Lattice · Physics 2026-04-21 Dogukan Bakircioglu

We report on numerical simulations of SU(2) lattice gauge theory with two flavors of light dynamical quarks in the adjoint of the gauge group. The dynamics of this theory is thought to be very different from QCD -- the theory exhibiting…

High Energy Physics - Lattice · Physics 2010-02-03 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

High Energy Physics - Lattice · Physics 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

I show that spontaneous breaking of vector flavor symmetry on the lattice is impossible in gauge theories with a positive functional-integral measure, for discretized Dirac operators linear in the quark masses, if the corresponding…

High Energy Physics - Lattice · Physics 2023-06-27 Matteo Giordano

Fermion mass generation in the strongly coupled U(1) lattice gauge theory with fermion and scalar fields of equal charge is investigated by means of numerical simulation with dynamical fermions. Chiral symmetry of this model is broken by…

High Energy Physics - Lattice · Physics 2009-10-30 W. Franzki , J. Jersak

We discuss the naive lattice fermion without the issue of doublers. A local lattice massless fermion action with chiral symmetry and hermiticity cannot avoid the doubling problem from the Nielsen-Ninomiya theorem. Here we adopt the forward…

High Energy Physics - Lattice · Physics 2021-11-24 Xingyu Guo , Chen-Te Ma , Hui Zhang

The confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

High Energy Physics - Lattice · Physics 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

The QCD phase diagram at finite temperature and density is a topic of considerable interest. Although much progress has been made in recent years, some open questions remain. Even at zero density, the order of the transition for two light…

High Energy Physics - Lattice · Physics 2008-11-26 Bertram Klein , Jens Braun

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

Superconductivity · Physics 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai
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