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We compare the critical multipoint correlation functions for two-dimensional (massless) Dirac fermions in the presence of a random su(N) (non-Abelian) gauge potential, obtained by three different methods. We critically reexamine previous…

介观与纳米尺度物理 · 物理学 2009-10-31 M. J. Bhaseen , J. -S. Caux , I. I. Kogan , A. M. Tsvelik

The precise values of the running quark and lepton masses $m^{}_f(\mu)$, which are defined in the modified minimal subtraction scheme ($\overline{\rm MS}$) with $\mu$ being the renormalization scale and the subscript $f$ referring to all…

高能物理 - 唯象学 · 物理学 2021-01-19 Guo-yuan Huang , Shun Zhou

We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for an infrared fixed point for ten flavors.…

高能物理 - 格点 · 物理学 2012-01-11 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We formulate the electroweak chiral Lagrangian in its mass eigenstates, and study the its one-loop renormalization and provide its renormalization group equations to the same order, so as to complete it as the low energy effective theory of…

高能物理 - 唯象学 · 物理学 2007-05-23 Q. S. Yan , D. S. Du

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the…

介观与纳米尺度物理 · 物理学 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on…

统计力学 · 物理学 2017-03-17 Jens Grimm , Eren Metin Elçi , Zongzheng Zhou , Timothy M. Garoni , Youjin Deng

Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The…

高能物理 - 格点 · 物理学 2009-11-07 Mushtaq Loan , Michael Brunner , Clare Sloggett , Chris Hamer

We consider anomaly free combinations of chiral fermions coupled to $U(1)$ gauge fields on a 2D torus first in the continuum and then on the lattice in the overlap formulation. Both in the continuum and on the lattice, when the background…

高能物理 - 理论 · 物理学 2009-10-30 Rajamani Narayanan , Herbert Neuberger

We calculate the two-loop renormalization group equations for the running gaugino masses in general SUSY gauge models, improving our previous result. We also study its consequence to the unification of the gaugino masses in the SUSY SU(5)…

高能物理 - 唯象学 · 物理学 2009-10-22 Youichi Yamada

This work presents the calculation of the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS, g_0 = Z_g(g_0,a\mu) g_MS, to 2 loops in perturbation theory, with fermions in an arbitrary representation of…

高能物理 - 格点 · 物理学 2008-11-26 M. Constantinou , H. Panagopoulos

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional…

高能物理 - 唯象学 · 物理学 2009-10-22 Stephen P. Martin , Michael T. Vaughn

We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear,…

高能物理 - 格点 · 物理学 2009-10-31 Eric B. Gregory , Simon M. Catterall , Gudmar Thorleifsson

We construct explicit examples with a horizontal, ``anomalous'' $U(1)$ gauge group, which, in a supersymmetric extension of the standard model, reproduce qualitative features of the fermion spectrum and CKM matrix, and suppress FCNC and…

高能物理 - 唯象学 · 物理学 2009-10-30 Ann E. Nelson , David Wright

We analyze the dynamics of an $SU_L(2)\otimes U_R(1)$ chiral gauge theory on a lattice with a large multifermion coupling $1\ll g_2 < \infty$. It is shown that no spontaneous symmetry breaking occurs; the ``spectator'' fermion $\psi_R(x)$…

高能物理 - 格点 · 物理学 2008-02-03 She-Sheng Xue

Lattice Monte Carlo (MC) simulations and the functional Renormalization Group (RG) are powerful approaches that allow for quantitative studies of non-perturbative phenomena such as bound-state formation, spontaneous symmetry breaking and…

高能物理 - 格点 · 物理学 2025-03-19 Niklas Zorbach , Jan Philipp Klinger , Owe Philipsen , Jens Braun

We investigate a version of SU(2) lattice gauge theory with a logarithmic action. The model is found to exhibit confinement, contrary to previous claims in the literature. Comparing ratios of physical quantities, like $\sqrt{\sigma}/T_c$,…

高能物理 - 格点 · 物理学 2010-11-01 Urs M. Heller

We use Monte Carlo simulation to probe 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 four fermion term.…

高能物理 - 格点 · 物理学 2013-05-30 Simon Catterall , Richard Galvez , Jay Hubisz , Dhagash Mehta , Aarti Veernala

We present a study of anomalous electroweak gauge-boson couplings which can be measured in e+e- and gamma gamma collisions at a future linear collider like ILC. We consider the gauge-boson sector of a locally SU(2) x U(1) invariant…

高能物理 - 唯象学 · 物理学 2009-01-07 O. Nachtmann , F. Nagel , M. Pospischil , A. Utermann

Scenario according to which the SU(2)-gluodynamics is a theory with a nontrivial fixed point is analyzed from the point of view of the modern Monte-Carlo (MC) lattice data. It is found that an assumption of the first order fixed point g=g_f…

高能物理 - 格点 · 物理学 2007-05-23 O. Borisenko , M. Gorenstein , A. Kostyuk

We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$ for…

高能物理 - 格点 · 物理学 2007-05-23 Kevin Cahill , Gary Herling