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The new method of nonperturbative calculation of the beta function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

High Energy Physics - Lattice · Physics 2007-05-23 O. Mogilevsky

U(2) lattice gauge theory with $\theta$-term in 2 space-time dimensions is investigated. It has non-Abelian real action and Abelian( U(1) type) imaginary action. The imaginary action is defined as the standard $\theta$-term. As the effect…

High Energy Physics - Lattice · Physics 2007-05-23 Masahiro Imachi , Takaaki Kakitsuka , Norimasa Tsuzuki , Hiroshi Yoneyama

The free energy of U(N) and SU(N) gauge theory was recently found to be of order N^0 to all orders of a perturbative expansion about a center-symmetric orbit of vanishing curvature. Here I consider extended models for which this expansion…

High Energy Physics - Theory · Physics 2009-11-11 Martin Schaden

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative representations of the susceptibility were…

High Energy Physics - Lattice · Physics 2014-11-21 Martin Lüscher , Filippo Palombi

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally…

Statistical Mechanics · Physics 2020-08-14 Marlon Brenes , Tyler LeBlond , John Goold , Marcos Rigol

We discuss a general framework for the realization of a family of abelian lattice gauge theories, i.e., link models or gauge magnets, in optical lattices. We analyze the properties of these models that make them suitable to quantum…

Quantum Gases · Physics 2013-02-08 L. Tagliacozzo , A. Celi , A. Zamora , M. Lewenstein

Tensor-network methods enable probing dynamics of strongly interacting quantum many-body systems, including gauge theories, via Hamiltonian simulation, hence bypassing sign problems. They also have the potential to inform efficient…

High Energy Physics - Lattice · Physics 2025-02-18 Emil Mathew , Navya Gupta , Saurabh V. Kadam , Aniruddha Bapat , Jesse Stryker , Zohreh Davoudi , Indrakshi Raychowdhury

An overrelaxed variant of simulated annealing is applied to the problem of maximally abelian gauge fixing. The superiority of this algorithm over the commonly used relaxation procedure is demonstrated. Biases on non gauge invariant…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , V. Bornyakov , M. Müller-Preussker , F. Pahl

We resolve a discrepancy between the SU(2) spacial string tension at finite temperature, and the value obtained by monopoles in the maximum Abelian gauge. Previous work had incorrectly omitted a term due to Dirac sheets. When this term is…

High Energy Physics - Lattice · Physics 2009-10-28 John D. Stack , Roy J. Wensley , Steven D. Neiman

The thermalisation rate for long wavelength fluctuations of the gauge field in the abelian Higgs model is calculated from the imaginary part of the self energy. The calculation is performed for both the symmetric and symmetry broken phase…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. S. Evans , A. C. Pearson

Gauge theories form the foundation of modern physics, with applications ranging from elementary particle physics and early-universe cosmology to condensed matter systems. We perform quantum simulations of the unitary dynamics of a U(1)…

The new method of nonperturbative calculation of the beta-function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

High Energy Physics - Lattice · Physics 2007-05-23 O. Mogilevsky

Using ultracold alkaline-earth atoms in optical lattices, we construct a quantum simulator for U(N) and SU(N) lattice gauge theories with fermionic matter based on quantum link models. These systems share qualitative features with QCD,…

Quantum Gases · Physics 2013-03-26 D. Banerjee , M. Bögli , M. Dalmonte , E. Rico , P. Stebler , U. -J. Wiese , P. Zoller

We investigate Abelian and monopole contributions to spatial string tension in the deconfined phase of finite temperature SU(2) gauge theory without imposing any gauge fixing conditions. Lattice calculations of non-Abelian and Abelian…

High Energy Physics - Lattice · Physics 2016-12-07 Takashige Sekiguchi , Katsuya Ishiguro

The thermodynamic properties of a SU(3) gauge theory without quarks are calculated using a string formulation for 1.2T_c < T < 3T_c. The results are in good agreement with the lattice data. We also comment on SU(N) gauge theories.

High Energy Physics - Phenomenology · Physics 2008-11-26 Oleg Andreev

We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge symmetry $\mathbb{Z}_n$, approximating the…

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity…

High Energy Physics - Theory · Physics 2015-10-12 Anosh Joseph

Recent lattice measurements of the topological susceptibility of SU(2) gauge theory using improved cooling and inverse-blocking are in disagreement. We use the overlap method, which probes the fermionic sector of the theory directly, to…

High Energy Physics - Lattice · Physics 2009-10-30 Rajamani Narayanan , Robert L. Singleton

Cold atoms have become a powerful platform for quantum-simulating lattice gauge theories in higher spatial dimensions. However, such realizations have been restricted to the lowest possible truncations of the gauge field, which limit the…

The eigenstate thermalization hypothesis (ETH) has been highly influential in explaining thermodynamic behavior of closed quantum systems. As of yet, it is unclear whether and how the ETH applies to non-Hermitian systems. Here, we introduce…