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The perspectives of numerical simulations in supersymmetric quantum field theories with vector-like gauge symmetries are discussed. A numerical simulation algorithm for SU(2) gauge theory with gluinos is studied and the first results on the…

High Energy Physics - Lattice · Physics 2009-10-28 I. Montvay

Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form…

High Energy Physics - Theory · Physics 2010-05-20 Konstantin G. Savvidy

The effects of Gaussian quark-field smearing and analytic stout-link smearing on the correlations of gauge-invariant extended baryon operators are studied. Gaussian quark-field smearing substantially reduces contributions from the short…

Using N=1 superspace techniques in four dimensions we show how to perturbatively compute the superpotential generated for the glueball superfield upon integrating out massive charged fields. The technique applies to arbitrary gauge groups…

High Energy Physics - Theory · Physics 2010-12-03 R. Dijkgraaf , M. T. Grisaru , C. S. Lam , C. Vafa , D. Zanon

The standard approach to compute the glueball spectrum on the lattice relies on the evaluation of effective masses from two-point correlation functions of operators with the quantum numbers of the desired state. In this work, we propose an…

High Energy Physics - Lattice · Physics 2023-11-28 Marco Panero , Antonio Smecca , Nazario Tantalo , Davide Vadacchino

We apply score-based diffusion models to two-dimensional SU(2) lattice pure gauge theory with the Wilson action, extending recent work on U(1) gauge theories. The SU(2) manifold structure is handled through a quaternion parameterization.…

High Energy Physics - Lattice · Physics 2026-02-24 H. Alharazin , J. Yu. Panteleeva , B. -D. Sun

We propose a generalization of pseudospin and spin symmetries, the SU(2) symmetries of Dirac equation with scalar and vector mean-field potentials originally found independently in the 70's by Smith and Tassie, and Bell and Ruegg. As…

Quantum Physics · Physics 2017-07-14 P. Alberto , M. Malheiro , T. Frederico , A. de Castro

The success of SU(5)-like gauge coupling unification boundary conditions $g_3^2=g_2^2=5/3 g_1^2$ has biased most attempts to embed the SM interactions into a unified structure. After discussing the limitations of the orthodox approach, we…

High Energy Physics - Phenomenology · Physics 2011-03-23 G. Aldazabal , L. E. Ibanez , F. Quevedo

As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup $D(2,1;\alpha)$, which is the most general $\mathcal{N}{=}\,4$ supersymmetric extension of the…

High Energy Physics - Theory · Physics 2019-03-27 Anton Galajinsky , Olaf Lechtenfeld

The pure gauge theory in 2+1 dimensions is explored, through both a phenomenological model and a lattice calculation. The Isgur-Paton model is extended to include a curvature term and various mixing mechanisms. The method of inferential…

High Energy Physics - Lattice · Physics 2007-10-12 Robert W. Johnson

A spin supersolid is characterized by the simultaneous breaking of lattice translation and continuous spin rotation symmetries. In this work, we study a spin-1 model with $U(2)\cong SU(2)\times U(1)/Z_2$ symmetry on the triangular lattice,…

Strongly Correlated Electrons · Physics 2026-01-08 Si-Cheng Wang , Zheng-Xin Liu

We perform a $\mathcal{N}=1$ supersymmetric extension of the replica model quantized in the Landau gauge and compute the gluon and gluino propagators at tree-level, such results display a supersymmetric confined model very similar to the…

High Energy Physics - Theory · Physics 2021-09-16 M. A. L. Capri , R. C. Terin , H. C. Toledo

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

High Energy Physics - Theory · Physics 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

We study duality transformations of the star-square relation and the generalized star-triangle relation for Ising-like integrable lattice spin models. The integrable models are obtained via gauge/YBE correspondence which connects the…

High Energy Physics - Theory · Physics 2025-08-21 Mustafa Mullahasanoglu

We propose a hypergraph expansion which facilitates the direct treatment of quantum spin models with many-site interactions via perturbative linked cluster expansions. The main idea is to generate all relevant subclusters and sort them into…

Strongly Correlated Electrons · Physics 2022-06-22 M. Mühlhauser , K. P. Schmidt

In the present article, we simulate the propagation of binary signals in semi-infinite, mechanical chains of coupled oscillators harmonically driven at the end, by making use of the recently discovered process of nonlinear…

Computational Physics · Physics 2011-12-06 J. E. Macías-Díaz , A. Puri

Smearing the gauge links of dynamical configurations removes small scale unphysical vacuum fluctuations and thus improves the chiral properties of lattice fermions. Recently we proposed the hypercubic smearing (HYP) that improves the flavor…

High Energy Physics - Lattice · Physics 2007-05-23 A. Hasenfratz , F. Knechtli

A generalization of highly symmetric frames is presented by considering also projective stabilizers of frame vectors. This allows construction of highly symmetric line systems and study of highly symmetric frames in a more unified manner.…

Functional Analysis · Mathematics 2022-07-19 Mikhail Ganzhinov

The convergence rate of a multigrid method depends on the properties of the smoother and the so-called grid transfer operator. In this paper we define and analyze new grid transfer operators with a generic cutting size which are applicable…

Numerical Analysis · Mathematics 2016-08-12 Maria Charina , Marco Donatelli , Lucia Romani , Valentina Turati

We present a development of strong-coupling diagrammatic techniques which relies on integrating out mean-field-like paths prior to conducting the expansion. This makes it possible to expand around a state with a quasiparticle spectrum that…

Strongly Correlated Electrons · Physics 2021-11-12 Johan Carlström