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We exactly calculated the parity-odd term of the effective action induced by the fermions in 2+1 dimensions at finite chemical potential and finite temperature. It shows that gauge invariance is still respected. A more gerneral class of…

High Energy Physics - Theory · Physics 2011-07-19 Sze-Shiang Feng , Dong-Pei Zhu

The $(1+1)$-dimensional chiral anomaly is a paradigmatic exact result in quantum field theory, traditionally formulated for zero-temperature pure states where it arises from spectral flow induced by external gauge fields and captures…

Strongly Correlated Electrons · Physics 2026-04-29 Ze-Min Huang , Sebastian Diehl

In this paper, using 1+1D models as examples, we study symmetries and anomalous symmetries via multi-component partition functions obtained through symmetry twists, and their transformations under the mapping class group of spacetime. This…

Strongly Correlated Electrons · Physics 2022-03-10 Wenjie Ji , Xiao-Gang Wen

We analyze the chiral transport terms in relativistic superfluid hydrodynamics. In addition to the spontaneously broken symmetry current, we consider an arbitrary number of unbroken symmetries and extend the results of arXiv:1105.3733. We…

High Energy Physics - Theory · Physics 2013-12-12 Yasha Neiman , Yaron Oz

We provide a consistent description of the kinetic equation with triangle anomaly which is compatible with the entropy principle of the second law of thermodynamics and the charge/energy-momentum conservation equations. In general an…

Nuclear Theory · Physics 2011-05-19 Shi Pu , Jian-hua Gao , Qun Wang

We consider the equilibrium partition function of an ideal gas of Dirac fermions minimally coupled to torsion in $2+1$ dimensions. We show that the energy-momentum tensor reproduces the Hall viscosity and other parity violating terms of…

High Energy Physics - Theory · Physics 2015-08-13 Manuel Valle

We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1…

High Energy Physics - Theory · Physics 2015-06-19 Carlos Hoyos , Bom Soo Kim , Yaron Oz

Quantum fluctuations lead to an anomalous violation of parity symmetry in quantum electrodynamics for an even number of spatial dimensions. While the leading parity-odd electric current vanishes in vacuum, we uncover a non-cancellation of…

Quantum Gases · Physics 2020-05-06 Robert Ott , Torsten V. Zache , Niklas Mueller , Jürgen Berges

We study the parity-breaking terms generated by the box diagram in 2+1 dimensional thermal QED. These lead, in the long wave limit, to a gauge invariant extensive action which behaves as 1/T at high temperature. In contrast, the effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. T. Brandt , Ashok Das , J. Frenkel

This two-part article considers certain fundamental symmetries of nature, namely the discrete symmetries of parity (P), charge conjugation (C) and time reversal (T), and their possible violation. Recent experimental results are discussed in…

Popular Physics · Physics 2007-05-23 B. Ananthanarayan , J. Meeraa , Bharti Sharma , Seema Sharma , Ritesh K. Singh

We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Shiraz Minwalla , Amos Yarom

We consider the problem of (1+1)-dimensional quantum gravity coupled to particles. Working with the canonically reduced Hamiltonian, we obtain its post-Newtonian expansion for two identical particles. We quantize the (1+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , M. B. Young

We discuss chemical equilibration of particles carrying non-vanishing quantum numbers related with U(1) internal symmetry. We construct the transport equation for the time evolution of particle multiplicities and their probability…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Redlich , V. Koch , A. Tounsi

Parity and CP symmetries are broken in the world around us. Nonetheless, parity (or CP) may be a gauge symmetry which is higgsed in our universe. This is assumed in many scenarios for physics beyond the Standard Model, including the classic…

High Energy Physics - Theory · Physics 2022-12-05 Jacob McNamara , Matthew Reece

We study two-dimensional QED with unequal charges at finite temperature, and show that there is a phase with a spontaneously broken $Z_n$ symmetry. In spite of this, we were not able to establish the presence of domain walls. The relevance…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. H. Hansson , H. B. Nielsen , I. Zahed

Quantum chromodynamics is a non-Abelian gauge theory of strong interactions, in which the parity symmetry can be violated by the non-trivial $\theta$-vacuum tunneling effects. The $\theta$-vacuum induces the local parity odd domains. Those…

High Energy Physics - Phenomenology · Physics 2019-10-02 Weihua Yang

We study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry, we consider symmetric gapping potentials which are…

High Energy Physics - Theory · Physics 2024-07-12 Linhao Li , Chang-Tse Hsieh , Yuan Yao , Masaki Oshikawa

The origin of parity violation in physics is still unknown. At the present time, it is introduced in the theory by requiring that the SU(2) subgroup entering the description of interactions involves the left components. In the present…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Desplanques

We study entanglement entropy for parity-violating (time-reversal breaking) quantum field theories on $\mathbb{R}^{1,2}$ in the presence of a domain wall between two distinct parity-odd phases. The domain wall hosts a 1+1-dimensional…

High Energy Physics - Theory · Physics 2016-04-06 Taylor L. Hughes , Robert G. Leigh , Onkar Parrikar , Srinidhi T. Ramamurthy

Performing the perturbative calculation of the vacuum polarization amplitude in QED1+1, one finds an anomalous axial vector Ward identity. We note that the photon self-energy function displays a singularity in the 1+1D case, in stark…

High Energy Physics - Theory · Physics 2025-10-21 Bailing Ma , Chueng-Ryong Ji