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Global topological charge decorrelates very slowly or even freezes in fine lattice simulations. On the other hand, its local fluctuations are expected to survive and lead to the correct physical results as long as the volume is large…

高能物理 - 格点 · 物理学 2014-11-17 JLQCD collaboration , H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described,…

高能物理 - 格点 · 物理学 2026-02-05 Laurence G. Yaffe

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

高能物理 - 理论 · 物理学 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We study the two-dimensional Yang--Mills theory with four supercharges in the large-$N$ limit. By using thermal boundary conditions, we analyze the internal energy and the distribution of scalars. We compare their behavior to the maximally…

高能物理 - 格点 · 物理学 2022-05-20 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , David Schaich

The hypercharges of the fermions are not uniquely determined in SO(10) grand unification, but rather depend upon which linear combination of the two U(1) subgroups of SO(10) > SU(3) X SU(2) X U(1) X U(1) remains unbroken. We show that, in…

高能物理 - 唯象学 · 物理学 2009-10-30 J. Lykken , T. Montroy , S. Willenbrock

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of…

高能物理 - 格点 · 物理学 2010-11-05 Timothy J. Hollowood , Joyce C. Myers

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

高能物理 - 理论 · 物理学 2019-03-22 Dongmin Gang , Masahito Yamazaki

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

高能物理 - 格点 · 物理学 2022-01-05 Andreas Athenodorou , Michael Teper

We analyze the branching of center vortices in $SU(3)$ Yang-Mills theory in maximal center gauge. When properly normalized, we can define a branching probability that turns out to be independent of the lattice spacing (in the limited…

高能物理 - 理论 · 物理学 2018-11-26 Felix Spengler , Markus Quandt , Hugo Reinhardt

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

高能物理 - 格点 · 物理学 2017-09-07 Simon Catterall

In this article we summarise our results from numerical simulations of $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses…

A three-dimensional effective theory for high temperature SU(3) gauge theory, which maintains the Z(3) center symmetry of the full theory, is constructed. Such a Z(3) invariant effective theory should be applicable to a wider temperature…

高能物理 - 唯象学 · 物理学 2009-11-11 A. Vuorinen , Laurence G. Yaffe

We study the relation between Donaldson-Thomas theory of Calabi-Yau threefolds and a six-dimensional topological Yang-Mills theory. Our main example is the topological U(N) gauge theory on flat space in its Coulomb branch. To evaluate its…

高能物理 - 理论 · 物理学 2009-01-26 Michele Cirafici , Annamaria Sinkovics , Richard J. Szabo

We present the derivation of the Yang-Mills gauge theory based on the covariant Hamiltonian representation of Noether's theorem. As the starting point, we re-formulate our previous presentation of the canonical Hamiltonian derivation of…

数学物理 · 物理学 2022-02-23 Jürgen Struckmeier , Horst Stöcker , David Vasak

Based on the generalized gauge theory on $M^4\times Z_2\times Z_3$, we reconstructed the realistic SU(5) Grand Unified model by a suitable assignment of fermion fields. The action of group elements $Z_2$ on fermion fields is the charge…

高能物理 - 理论 · 物理学 2011-09-13 Jianming Li , Xingchang Song

The coulomb branch of $N=4$ supersymmetric Yang-Mills gauge theories in $d=2+1$ is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-K\"ahler metric of supersymmetric…

高能物理 - 理论 · 物理学 2009-10-30 Gordon Chalmers , Amihay Hanany

A new set of gauge invariant variables is defined to describe the physical Hilbert space of $d = 3 + 1$ $SU(2)$ Yang-Mills theory in the fixed-time canonical formalism. A natural geometric interpretation arises due to the $GL(3)$ covariance…

高能物理 - 理论 · 物理学 2007-05-23 Peter E. Haagensen

The adjoint SU(2) lattice gauge theory in 3+1 dimensions with the Wilson plaquette action modified by a Z(2) monopole suppression term is reinvestigated with special emphasis on the existence of a finite-temperature phase transition…

高能物理 - 格点 · 物理学 2017-08-23 A. Barresi , G. Burgio , M. Muller-Preussker

Certain correlation functions are computed exactly in the zero coupling limit of N=4 super Yang-Mills theory with gauge group SU(N). A set of linearly independent operators that are in one-to-one correspondence with the half-BPS…

高能物理 - 理论 · 物理学 2008-11-26 Robert de Mello Koch , Rhiannon Gwyn

We analyze the low energy spectrum of bound states of the N=1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with…

高能物理 - 格点 · 物理学 2007-05-23 Federico Farchioni , Roland Peetz