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New algorithm of the finite lattice method is presented to generate the high-temperature expansion series of the Ising model. It enables us to obtain much longer series in three dimensions when compared not only to the previous algorithm of…

High Energy Physics - Lattice · Physics 2009-11-07 H. Arisue , T. Fujiwara

We report on the results of numerical simulations of 1+1 dimensional SU(N) Yang-Mills theory with maximal supersymmetry at finite temperature and compactified on a circle. For large N this system is thought to provide a dual description of…

High Energy Physics - Theory · Physics 2016-12-20 Simon Catterall , Anosh Joseph , Toby Wiseman

This paper gives a way to renormalise certain quantum field theories on compact manifolds. Examples include Yang-Mills theory (in dimension 4 only), Chern-Simons theory and holomorphic Chern-Simons theory. The method is within the framework…

Quantum Algebra · Mathematics 2007-06-29 Kevin J. Costello

We calculate perturbatively the pressure of a dilute gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory. Near Bose statistics , the divergences in the perturbative expansion are…

High Energy Physics - Theory · Physics 2009-10-22 M. A. Valle Basagoiti

We derive the exact dual theory of a lattice Ginzburg-Landau theory with an additional topological Chern-Simons (CS) term. It is shown that in the zero-temperature limit, the statistical parameter $\theta=1/2\pi$ corresponds to a fixed…

Superconductivity · Physics 2007-05-23 Hagen Kleinert , Flavio S. Nogueira

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temperatures string theory describes black holes, whose…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall , Toby Wiseman

In this paper, we study the three-dimensional noncommutative Maxwell-Chern-Simons theory. In the present analysis, a complete account for the gauge field two-point function renormalizability is presented and physical significant quantities…

High Energy Physics - Theory · Physics 2016-04-27 M. Ghasemkhani , R. Bufalo

We compute ghost and gluon propagators of Yang-Mills theory in the Landau gauge at non-vanishing temperature within a functional renormalisation group setting. We construct purely thermal flows, that project onto thermal fluctuations only.…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

We consider a large-N Chern-Simons theory for the attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian collective-field approach based on the 1/N expansion. We show that the dynamics of low-lying density excitations around the…

High Energy Physics - Theory · Physics 2009-10-31 Ivan Andric , Velimir Bardek , Larisa Jonke

Using a variation of Lueschers geometric charge definition for SU(2) lattice gauge theory, we have managed to give a geometric expression for it's Chern-Simons ter. From this definition we have checked the periodic structure. we determined…

High Energy Physics - Lattice · Physics 2011-04-20 F. Karsch , M. L. Laursen , T. Neuhaus , B. Plache , U. -J. Wiese

We construct the first analytic examples of non-homogeneous condensates in the Georgi-Glashow model at finite density in $(2+1)$ dimensions. The non-homogeneous condensates, which live within a cylinder of finite spatial volume, possess a…

High Energy Physics - Theory · Physics 2021-12-15 Fabrizio Canfora , Daniel Flores-Alfonso , Marcela Lagos , Aldo Vera

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-12-16 Chihiro Sasaki

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…

High Energy Physics - Lattice · Physics 2022-05-20 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , David Schaich

We study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the…

High Energy Physics - Theory · Physics 2014-03-05 Abhishek Agarwal , Arthur E. Lipstein , Donovan Young

The three dimensional Chern-Simons theory on $\rr^2_{\theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge…

High Energy Physics - Theory · Physics 2009-10-07 M. M. Sheikh-Jabbari

Measurements of the spin-lattice relaxation rate 1/T_1 by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr_2CuO_3 have provided evidence for a diffusion-like contribution at finite temperature and small…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

We revisit the classic problem of the effective diffusion constant of a Brownian particle in a square lattice of reflecting impenetrable hard disks. This diffusion constant is also related to the effective conductivity of non-conducting and…

Statistical Mechanics · Physics 2021-11-09 M. Mangeat , T. Guérin , D. S. Dean

We study the six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling based on the twisted Z_4-symmetric integrable model. The lattice regularization allows us to derive the associated thermodynamic Bethe…

High Energy Physics - Theory · Physics 2015-06-22 Yasuyuki Hatsuda , Katsushi Ito , Yuji Satoh , Junji Suzuki

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The…

High Energy Physics - Theory · Physics 2009-10-29 Dimitra Karabali , V. P. Nair , Alexandr Yelnikov
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