Quantum field theory on toroidal topology: Algebraic structure and applications

FC Khanna, APC Malbouisson, JMC Malbouisson… - Physics Reports, 2014 - Elsevier
The development of quantum theory on a torus has a long history, and can be traced back to
the 1920s, with the attempts by Nordström, Kaluza and Klein to define a fourth spatial …

Absence of inhomogeneous chiral phases in ()-dimensional four-fermion and Yukawa models

L Pannullo, M Winstel - Physical Review D, 2023 - APS
We show the absence of an instability of homogeneous (chiral) condensates against
spatially inhomogeneous perturbations for various (2+ 1)-dimensional four-fermion and …

Yukawa conformal field theories and emergent supersymmetry

L Fei, S Giombi, IR Klebanov… - Progress of Theoretical …, 2016 - academic.oup.com
We study conformal field theories (CFTs) with Yukawa interactions in dimensions between 2
and 4; they provide UV completions of the Nambu–Jona-Lasinio and Gross–Neveu models …

Phase diagram of planar U (1)× U (1) superconductor: Condensation of vortices with fractional flux and a superfluid state

E Babaev - Nuclear Physics B, 2004 - Elsevier
We discuss a phase diagram of two-dimensional U (1)× U (1) superconductor in the field
theoretic formalizm of [Phys. Rev. Lett. 89 (2002) 067001]. In particular we discuss that when …

Dual neutral variables and knot solitons in triplet superconductors

E Babaev - Physical review letters, 2002 - APS
We derive a dual presentation of a free energy functional for spin-triplet superconductors in
terms of gauge-invariant variables. The resulting equivalent model in ferromagnetic phase …

Field- and temperature-induced topological phase transitions in the three-dimensional -component London superconductor

J Smiseth, E Smørgrav, E Babaev, A Sudbø - Physical Review B—Condensed …, 2005 - APS
The phase diagram and critical properties of the N-component London superconductor are
studied both analytically and through large-scale Monte Carlo simulations in d= 2+ 1 …

Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study

JE Drut, TA Lähde - Physical Review B—Condensed Matter and Materials …, 2009 - APS
The low-energy theory of graphene exhibits spontaneous chiral symmetry breaking due to
pairing of quasiparticles and holes, corresponding to a semimetal-insulator transition at …

Inhomogeneous phases in the chirally imbalanced 2+ 1-dimensional Gross-Neveu model and their absence in the continuum limit

L Pannullo, M Wagner, M Winstel - Symmetry, 2022 - mdpi.com
We studied the μ-μ 45-T phase diagram of the 2+ 1-dimensional Gross-Neveu model, where
μ denotes the ordinary chemical potential, μ 45 the chiral chemical potential and T the …

Novel phases in strongly coupled four-fermion theories

S Catterall, D Schaich - Physical Review D, 2017 - APS
We study a lattice model comprising four massless reduced staggered fermions in four
dimensions coupled through an SU (4)-invariant four-fermion interaction. We present both …

Quantum dynamics of phase transitions in broken symmetry field theory

F Cooper, JF Dawson, B Mihaila - Physical Review D, 2003 - APS
We perform a detailed numerical investigation of the dynamics of a single component
“explicitly broken symmetry” λ φ 4 field theory in 1+ 1 dimensions, using a Schwinger-Dyson …