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We study a single particle diffusing on a triangular lattice and interacting with a heat bath, using boundary conformal field theory (CFT) and exact integrability techniques. We derive a correspondence between the phase diagram of this…

Statistical Mechanics · Physics 2011-07-19 Ian Affleck , Masaki Oshikawa , Hubert Saleur

Conformal Field Theories (CFTs) have been used extensively to understand the physics of critical lattice models at equilibrium. However, the applicability of CFT calculations to the behavior of the lattice systems in the out-of-equilibrium…

Statistical Mechanics · Physics 2022-05-18 Niall F. Robertson , Jacopo Surace , Luca Tagliacozzo

We investigate the critical behaviour of the three-dimensional, three state Potts model in presence of a negative external field h, i.e. disfavouring one of the three states. A genuine phase transition is present for all values of |h|,…

High Energy Physics - Lattice · Physics 2011-07-14 Claudio Bonati , Massimo D'Elia

The quantum $5$-state Potts model is known to possess a perturbative description using complex conformal field theory (CCFT), the analytic continuation of ``theory space" to a complex plane. To study the corresponding complex fixed point on…

Strongly Correlated Electrons · Physics 2026-04-01 Vic Vander Linden , Boris De Vos , Kevin Vervoort , Frank Verstraete , Atsushi Ueda

We study the tricritical Ising universality class using conformal bootstrap techniques. By studying bootstrap constraints originating from multiple correlators on the CFT data of multiple OPEs, we are able to determine the scaling dimension…

High Energy Physics - Theory · Physics 2021-05-11 Chethan N Gowdigere , Jagannath Santara , Sumedha

We consider a generic Fibonacci topological wave function on a square lattice, and the norm of this wave function can be mapped into the partition function of two-coupled $\phi ^{2}$-state Potts models with $\phi =(\sqrt{5}+1)/2$ as the…

Strongly Correlated Electrons · Physics 2019-05-27 Wen-Tao Xu , Guang-Ming Zhang

The critical behavior of semi-infinite $d$-dimensional systems with $n$-component order parameter $\bm{\phi}$ and short-range interactions is investigated at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , A. Gerwinski , S. Rutkevich

We propose a diagnostic tool for detecting non-trivial symmetry protected topological (SPT) phases protected by a symmetry group $G$ in 2+1 dimensions. Our method is based on directly studying the 1+1-dimensional anomalous edge conformal…

Strongly Correlated Electrons · Physics 2017-09-13 Bo Han , Apoorv Tiwari , Chang-Tse Hsieh , Shinsei Ryu

The quantum tricriticality of d-dimensional transverse Ising-like systems is studied by means of a perturbative renormalization group approach focusing on static susceptibility. This allows us to obtain the phase diagram for 3<d<4, with a…

Statistical Mechanics · Physics 2012-03-22 M. T. Mercaldo , I. Rabuffo , A. Naddeo , A. Caramico D'Auria , L. De Cesare

We study the orientational ordering in systems of self-propelled particles with selective interactions. To introduce the selectivity we augment the standard Vicsek model with a bounded-confidence collision rule: a given particle only aligns…

Statistical Mechanics · Physics 2014-12-01 Maksym Romenskyy , Vladimir Lobaskin , Thomas Ihle

A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a $U(1)$ symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFT) parametrized by the gauge coupling…

High Energy Physics - Theory · Physics 2019-06-26 Lorenzo Di Pietro , Davide Gaiotto , Edoardo Lauria , Jingxiang Wu

Fluid three-phase equilibria, with phases $\alpha, \beta, \gamma$, are studied close to a tricritical point, analytically and numerically, in a mean-field density-functional theory with two densities. Employing Griffiths' scaling for the…

Statistical Mechanics · Physics 2025-10-30 Joseph O. Indekeu , Kenichiro Koga

We study two-dimensional conformal field theories (CFTs) with boundaries via the conformal bootstrap. We derive a positive semi-definite program from crossing symmetry of three observables: the annulus partition function, the two-point…

High Energy Physics - Theory · Physics 2025-06-24 Marco Meineri , Bharathkumar Radhakrishnan

In this paper, we consider the bulk plus boundary phase space for three-dimensional gravity with negative cosmological constant for a particular choice of conformal boundary conditions: the conformal class of the induced metric at the…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Jeevan Chandra Namburi , Wolfgang Wieland

An introduction into the theory of boundary critical phenomena and the application of the field-theoretical renormalization group method to these is given. The emphasis is on a discussion of surface critical behavior at bulk critical points…

Statistical Mechanics · Physics 2011-04-15 H. W. Diehl

We show that dynamic quantum phase transitions (DQPT) in many situations involve renormalization group (RG) fixed points that are unphysical in the context of thermal phase transitions. In such cases, boundary conditions are shown to become…

Statistical Mechanics · Physics 2019-10-22 Amina Khatun , Somendra M. Bhattacharjee

We study operators with large internal charge in boundary conformal field theories (BCFTs) with internal symmetries. Using the state-operator correspondence and the existence of a macroscopic limit, we find a non-trivial relation between…

High Energy Physics - Theory · Physics 2021-11-03 Gabriel Cuomo , Márk Mezei , Avia Raviv-Moshe

The dihedral contact angles between interfaces in three-fluid-phase equilibria must be continuous functions of the bulk thermodynamic fields. This general argument, which we propose, predicts a nonwetting gap in the phase diagram,…

Statistical Mechanics · Physics 2022-12-07 Joseph O. Indekeu , Kenichiro Koga

The $Q$-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general $Q\geq3$ special choices of these magnetic fields produce effective models with smaller $Z(Q')$ symmetry $(Q'< Q)$. The phase…

Condensed Matter · Physics 2009-10-28 F. C. Alcaraz , J. C. Xavier

Semi-infinite $d$-dimensional systems with an $m$-axial bulk Lifshitz point are considered whose ($d-1$)-dimensional surface hyper-plane is oriented perpendicular to one of the $m$ modulation axes. An $n$-component $\phi^4$ field theory…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , M. A. Shpot , P. V. Prudnikov