Large quantum field theory

JA Gracey - International Journal of Modern Physics A, 2018 - World Scientific
We review the development of the large N method, where N indicates the number of
flavours, used to study perturbative and nonperturbative properties of quantum field theories …

Four-loop critical exponents for the Gross-Neveu-Yukawa models

N Zerf, LN Mihaila, P Marquard, IF Herbut, MM Scherer - Physical Review D, 2017 - APS
We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order
with the perturbative renormalization group in 4-ε dimensions and compute critical …

Non-hermitian strongly interacting Dirac fermions

XJ Yu, Z Pan, L Xu, ZX Li - Physical Review Letters, 2024 - APS
Exotic quantum phases and phase transition in the strongly interacting Dirac systems have
attracted tremendous interests. On the other hand, non-Hermitian physics, usually …

Quantum phase transitions in Dirac fermion systems

R Boyack, H Yerzhakov, J Maciejko - The European Physical Journal …, 2021 - Springer
A key problem in the field of quantum criticality is to understand the nature of quantum phase
transitions in systems of interacting itinerant fermions, motivated by experiments on a variety …

Emergent spacetime supersymmetry in 3D Weyl semimetals and 2D Dirac semimetals

SK Jian, YF Jiang, H Yao - Physical review letters, 2015 - APS
Supersymmetry (SUSY) interchanges bosons and fermions but no direct evidence of it has
been revealed in nature yet. In this Letter, we observe that fluctuating pair density waves …

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 …

Fermion-induced quantum critical points

ZX Li, YF Jiang, SK Jian, H Yao - Nature communications, 2017 - nature.com
A unified theory of quantum critical points beyond the conventional Landau–Ginzburg–
Wilson paradigm remains unknown. According to Landau cubic criterion, phase transitions …

Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system

H Rostami, V Juričić - Physical Review Research, 2020 - APS
Interaction-driven symmetry breaking in a metallic (doped) Dirac system can manifest in the
spontaneous gap generation at the nodal point buried below the Fermi level. Across this …

Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids

É Dupuis, R Boyack, W Witczak-Krempa - Physical Review X, 2022 - APS
Monopole operators are studied in a large family of quantum critical points between Dirac
spin liquids and topological quantum spin liquids (QSLs): chiral and Z 2 QSLs. These …

Emergence of supersymmetry on the surface of three-dimensional topological insulators

P Ponte, SS Lee - New Journal of Physics, 2014 - iopscience.iop.org
We propose two possible experimental realizations of a (2+ 1)-dimensional spacetime
supersymmetry at a quantum critical point on the surface of three-dimensional topological …