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We discuss a gauged XY model a $\theta$-term on an arbitrary lattice in 1+1 dimensions, and show that the theory reduces exactly to the 2d Ising model on the dual lattice in the limit of the strong gauge coupling, provided that the…

High Energy Physics - Lattice · Physics 2021-03-03 Tin Sulejmanpasic

Analyzing an $SU_L(2)$-chiral gauge theory with external multifermion couplings, we find a possible scaling region where doublers decouple by acquiring chiral-invariant masses and $\psi_R$ is free mode owing to the $\psi_R$-shift-symmetry,…

High Energy Physics - Lattice · Physics 2008-02-03 She-Sheng Xue

This is a review of the status and outstanding issues in attempts to construct chiral lattice gauge theories by decoupling the mirror fermions from a vectorlike theory. In the first half, we explain why studying nonperturbative chiral gauge…

High Energy Physics - Lattice · Physics 2015-03-13 Erich Poppitz , Yanwen Shang

We consider the scenario where all the couplings in the theory are strong at the cut-off scale, in the context of higher dimensional grand unified field theories where the unified gauge symmetry is broken by an orbifold compactification. In…

High Energy Physics - Phenomenology · Physics 2009-09-29 Yasunori Nomura

We investigate consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice (hep-ph/9704408). As a quantitative test of this approach, we have…

High Energy Physics - Theory · Physics 2007-05-23 B. van de Sande , S. Dalley

We study a number of different ingredients, related to long range order observed in lattice QCD simulations, using a simple "deformed QCD" model. This model is a weakly coupled gauge theory, which however has all the relevant crucial…

High Energy Physics - Phenomenology · Physics 2013-04-18 Evan Thomas , Ariel R. Zhitnitsky

This brief review surveys recent progress driven by the gauge/Yang-Baxter equation (YBE) correspondence. This connection has proven to be a powerful tool for discovering novel integrable lattice spin models in statistical mechanics by…

High Energy Physics - Theory · Physics 2025-10-31 Mustafa Mullahasanoglu

We study the issue of the spin-chirality decoupling/coupling in the ordering of the Heisenberg spin glass by performing large-scale Monte Carlo simulations on a one-dimensional Heisenberg spin-glass model with a long-range power-law…

Disordered Systems and Neural Networks · Physics 2010-09-21 Dao Xuan Viet , Hikaru Kawamura

We make a detailed study of the unification of gauge couplings in the MSSM with large extra dimensions. We find some scenarios where unification can be achieved (with the strong coupling constant at the Z mass within one standard deviation…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel Dumitru , Satyanarayan Nandi

Decoupling of heavy quarks at low energies can be described by means of an effective theory as shown by S. Weinberg in Ref. [1]. We study the decoupling of the charm quark by lattice simulations. We simulate a model, QCD with two degenerate…

High Energy Physics - Lattice · Physics 2017-11-22 Francesco Knechtli , Tomasz Korzec , Björn Leder , Graham Moir

The strong coupling physics of two dimensional gravity at C=7, 13, 19 is deciphered, by building up on previous works along the same line (for a recent review, of the background material, see hep-th/9408069). It is shown that chirality…

High Energy Physics - Theory · Physics 2009-10-28 Jean-Loup Gervais , Jean-François Roussel

We explore the phase diagram of the SU(2) Yang-Mills theory in 5 dimensions by numerical simulations. The lattice system shows a dimensionally-reduced phase where the extra dimension is small compared to the four dimensional correlation…

High Energy Physics - Lattice · Physics 2012-03-27 Luigi Del Debbio , Enrico Rinaldi

We present an analytic approach to study concurrent influence of quenched non-magnetic site-dilution and finiteness of the lattice on the 2D XY model. Two significant deeply connected features of this spin model are: a special type of…

Statistical Mechanics · Physics 2010-07-06 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal…

Statistical Mechanics · Physics 2025-05-30 Gabriele Bandini , Davide Venturelli , Sarah A. M. Loos , Asja Jelic , Andrea Gambassi

We provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins. The evidence comes from both a high-temperature…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , R. Loll

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

Statistical Mechanics · Physics 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

We present a model of supersymmetry breaking which produces gaugino masses and negligible scalar masses at a high scale. The model is inspired by ``deconstructing'' or ``latticizing'' models in extra dimensions where supersymmetry breaking…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. -C. Cheng , D. E. Kaplan , M. Schmaltz , W. Skiba

We study states of one- and two-dimensional spin systems that are constructed as correlators within the conformal field theory of a massless, free boson. In one dimension, these are good variational wave functions for XXZ spin chains and…

Strongly Correlated Electrons · Physics 2018-08-03 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

We report progress in the computation and analysis of strong-coupling series of two- and three-dimensional ${\rm O}(N)$ $\sigma$ models. We show that, through a combination of long strong-coupling series and judicious choice of observables,…

High Energy Physics - Lattice · Physics 2009-10-28 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

Strong coupling dynamics of Yang--Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address non-perturbative properties of…

High Energy Physics - Theory · Physics 2009-07-30 M. Shifman , Mithat Unsal