scholarly journals QED3 -Inspired Three-Dimensional Conformal Lattice Gauge Theory without Fine-Tuning

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
Nikhil Karthik ◽  
Rajamani Narayanan
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Fine Tuning ◽  
Lattice Gauge

Stochastic confinement and dimensional reduction (II). Three-dimensional SU(2) lattice gauge theory

1984 ◽  
Vol 240 (4) ◽  
pp. 533-542 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Dimensional Reduction ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Lattice Gauge

Three-dimensional lattice gauge theory and strings

1984 ◽  
Vol 244 (1) ◽  
pp. 262-276 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Dimensional Lattice ◽  
Lattice Gauge

scholarly journals Lattice gauge theory for the Haldane conjecture and central-branch Wilson fermion

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Tatsuhiro Misumi ◽  
Yuya Tanizaki
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Fine Tuning ◽  
Lattice Rotation ◽  
Dirac Fermions ◽  
Wilson Fermion ◽  
Schwinger Model ◽  
Lattice Gauge ◽  
Sign Problem ◽  
The Continuum

Abstract We develop a $(1+1)$D lattice $U(1)$ gauge theory in order to define the two-flavor massless Schwinger model, and discuss its connection with the Haldane conjecture. We propose to use the central-branch Wilson fermion, which is defined by relating the mass, $m$, and the Wilson parameter, $r$, by $m+2r=0$. This setup gives two massless Dirac fermions in the continuum limit, and it turns out that no fine-tuning of $m$ is required because the extra $U(1)$ symmetry at the central branch, $U(1)_{\overline{V}}$, prohibits additive mass renormalization. Moreover, we show that the Dirac determinant is positive semi-definite and this formulation is free from the sign problem, so a Monte Carlo simulation of the path integral is possible. By identifying the symmetry at low energy, we show that this lattice model has a mixed ’t Hooft anomaly between $U(1)_{\overline{V}}$, lattice translation, and lattice rotation. We discuss its relation to the anomaly of half-integer anti-ferromagnetic spin chains, so our lattice gauge theory is suitable for numerical simulation of the Haldane conjecture. Furthermore, it gives a new and strict understanding on the parity-broken phase (Aoki phase) of the $2$D Wilson fermion.

STUDY OF Z(N) GAUGE THEORIES ON A THREE-DIMENSIONAL PSEUDORANDOM LATTICE

1988 ◽  
Vol 03 (06) ◽  
pp. 1499-1518
Author(s):  
D. PERTERMANN ◽  
J. RANFT
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Expectation Values ◽  
First Order ◽  
Gauge Models ◽  
Lattice Gauge

Using the simplicial pseudorandom version of lattice gauge theory we study simple Z(n) gauge models in D=3 dimensions. In this formulation it is possible to interpolate continuously between a regular simplicial lattice and a pseudorandom lattice. Calculating average plaquette expectation values we look for the phase transitions of the Z(n) gauge models with n=2 and 3. We find all the phase transitions to be of first order, also in the case of the Z(2) model. The critical couplings increase with the irregularity of the lattice.

scholarly journals SHORT-TIME RELAXATION OF SU(2) LATTICE GAUGE THEORY IN (3 + 1) DIMENSIONS

2000 ◽  
Vol 11 (07) ◽  
pp. 1465-1474 ◽  
Author(s):  
A. JASTER
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Polyakov Loop ◽  
Monte Carlo Algorithm ◽  
Dynamic Relaxation ◽  
Lattice Gauge ◽  
Time Regime ◽  
Short Time ◽  
Ordered State

We investigate the dynamic relaxation for SU(2) gauge theory at finite temperatures in (3 + 1) dimensions. Using the Hybrid Monte Carlo algorithm, we examine the time dependence of the system in the short-time regime. Starting from the ordered state, the critical exponents β, ν and z are calculated from the power law behavior of the Polyakov loop and the cumulant at or near the critical point. The results for the static exponents are in agreement with those obtained from simulations in equilibrium and those of the three-dimensional Ising model. The value for the dynamic critical exponent was determined with z = 2.0(1).

Savvidy «ferromagnetic vacuum» in three-dimensional lattice gauge theory

1994 ◽  
Vol 107 (11) ◽  
pp. 2645-2648
Author(s):  
She-Sheng Xue
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Dimensional Lattice ◽  
Lattice Gauge

scholarly journals Four-dimensionalCP1+U(1)lattice gauge theory for three-dimensional antiferromagnets: Phase structure, gauge bosons, and spin liquid

2008 ◽  
Vol 77 (22) ◽  
Author(s):  
Kenji Sawamura ◽  
Takashi Hiramatsu ◽  
Katsuhiro Ozaki ◽  
Ikuo Ichinose ◽  
Tetsuo Matsui
Keyword(s):  
Gauge Theory ◽  
Phase Structure ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Spin Liquid ◽  
Gauge Bosons ◽  
Lattice Gauge

Observation of a string in three-dimensional SU(2) lattice gauge theory

1984 ◽  
Vol 142 (5-6) ◽  
pp. 410-414 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Lattice Gauge
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