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By using real space renormalisation group (RG) methods we show that spin-glasses in a field display a new kind of transition in high dimensions. The corresponding critical properties and the spin-glass phase are governed by two…

Disordered Systems and Neural Networks · Physics 2015-07-17 Maria Chiara Angelini , Giulio Biroli

We comment on the Lee-Yang zero analysis for the study of the phase structure of QCD at high temperature and baryon number density by Monte-Carlo simulations. We find that the sign problem for non-zero density QCD induces a serious problem…

High Energy Physics - Lattice · Physics 2014-11-17 Shinji Ejiri

In models of supersymmetry (SUSY) breaking and mediation, strongly coupled SUSY-breaking sectors can play a significant role in determining the low-energy spectrum of the model. For example, strong dynamics may provide a natural solution to…

High Energy Physics - Phenomenology · Physics 2009-10-02 Nathaniel J. Craig , Daniel Green

Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories that can be made all-loop finite, leading to a severe reduction of the free parameters. We review the investigation of FUTs based on SU(5) in the context of…

High Energy Physics - Phenomenology · Physics 2009-02-02 S. Heinemeyer , M. Mondragon , G. Zoupanos

This paper is a continuation of our previous analysis [BBCKK] of partition functions zeros in models with first-order phase transitions and periodic boundary conditions. Here it is shown that the assumptions under which the results of…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Roman Kotecky

In this paper we consider finite-temperature holographic RG flows in $D=3$ $\mathcal{N}=(2,0)$ gauged truncated supergravity coupled to a sigma model with a hyperbolic target space. In the context of the holographic duality, fixed points…

High Energy Physics - Theory · Physics 2024-06-14 Anastasia Golubtsova , Alexander Nikolaev , Mikhail Podoinitsyn

We study a model of fermions on the square lattice at half-filling coupled to an Ising gauge theory, that was recently shown in Monte Carlo simulations to exhibit $\mathbb{Z}_2$ topological order and massless Dirac fermion excitations. On…

Strongly Correlated Electrons · Physics 2018-07-27 Snir Gazit , Fakher F. Assaad , Subir Sachdev , Ashvin Vishwanath , Chong Wang

Emerging sampling algorithms based on normalizing flows have the potential to solve ergodicity problems in lattice calculations. Furthermore, it has been noted that flows can be used to compute thermodynamic quantities which are difficult…

High Energy Physics - Lattice · Physics 2023-10-02 Jan M. Pawlowski , Julian M. Urban

Fractionalization without time-reversal symmetry breaking is a long-sought-after goal in the study of correlated phenomena. The earlier proposal of correlated insulating states at $n \pm 1/3$ filling in twisted bilayer graphene and recent…

Strongly Correlated Electrons · Physics 2023-07-27 Dan Mao , Kevin Zhang , Eun-Ah Kim

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to calculate the $\beta$ function and anomalous dimensions of the SU(3) gauge theory with $N_f=10$ flavors of fermions in the…

High Energy Physics - Lattice · Physics 2023-06-21 Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel

We studied the finite temperature phase transition of SU(2) gauge theory on four-dimensional Euclidean lattices by Monte Carlo simulations, and measured the flux distributions of a $q\bar q$ pair in both confined and unconfined phases. We…

High Energy Physics - Lattice · Physics 2009-09-25 Yingcai Peng , Richard W. Haymaker

We characterize the breaking of analyticity with respect to the replica number which occurs in random energy models via the complex zeros of the moment of the partition function. We perturbatively evaluate the zeros in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-05-13 Kenzo Ogure , Yoshiyuki Kabashima

Confining strings in 4D are effective, thick strings describing the confinement phase of compact U(1) and, possibly, also non-Abelian gauge fields. We show that these strings are dual to the gauge fields, inasmuch as their perturbative…

High Energy Physics - Theory · Physics 2009-10-31 M. Cristina Diamantini , Carlo A. Trugenberger

In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at…

High Energy Physics - Theory · Physics 2008-11-26 Chung-Chieh Lee , Choon-Lin Ho

We study the Roberge-Weiss phase transition numerically. The phase transition is associated with the discontinuities in the quark-number density at specific values of imaginary quark chemical potential. We parameterize the quark number…

High Energy Physics - Lattice · Physics 2023-01-25 V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. A. Korneev , A. V. Molochkov , A. Nakamura , R. N. Rogalyov

It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

We present a lattice study of the phase transitions at zero and nonzero temperature for the $SU(3)$ gauge theory with a varying number of flavours $N_f$ in the fundamental representation of the gauge group. We show that all results are…

High Energy Physics - Theory · Physics 2016-09-20 Tiago Nunes da Silva , Elisabetta Pallante , Lasse Robroek

We consider realizations of GUT models in F-theory. Adopting a bottom up approach, the assumption that the dynamics of the GUT model can in principle decouple from Planck scale physics leads to a surprisingly predictive framework. An…

High Energy Physics - Theory · Physics 2009-11-13 Chris Beasley , Jonathan J. Heckman , Cumrun Vafa

The strong coupling limit ($\beta_{gauge}=0$) of lattice QCD with staggered fermions enjoys the same non-perturbative properties as continuum QCD, namely confinement and chiral symmetry breaking. In contrast to the situation at weak…

High Energy Physics - Lattice · Physics 2010-01-21 M. Fromm , Ph. de Forcrand

We investigate partition-function zeros of the many-body interacting spherical spin glass, the so-called $p$-spin spherical model, with respect to the complex temperature in the thermodynamic limit. We use the replica method and extend the…

Disordered Systems and Neural Networks · Physics 2012-04-03 Tomoyuki Obuchi , Kazutaka Takahashi