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Within the framework of the Gaussian wave-functional approach, we investigate the influences of quantum and finite-temperature effects on the Z_2-symmetry(\phi \to -\phi) of the (1+1)-dimensional massive sine-Gordon field theory. It is…

高能物理 - 理论 · 物理学 2008-11-26 Wen-Fa Lu

In temporal gauge A_{0}=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing…

高能物理 - 理论 · 物理学 2015-05-14 Alexei Morozov , Andrey Smirnov

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce…

高能物理 - 理论 · 物理学 2009-10-28 Mark Burgess

Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component…

高能物理 - 理论 · 物理学 2017-08-23 Yuichi Hoshino

We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in effective field theory. We focus on thermal effective field theory where we argue…

高能物理 - 理论 · 物理学 2015-12-15 Siavash Golkar , Savdeep Sethi

When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The…

广义相对论与量子宇宙学 · 物理学 2017-08-23 R. Jackiw

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are…

高能物理 - 理论 · 物理学 2009-10-28 S. H. Park

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

高能物理 - 理论 · 物理学 2019-10-15 Moshe Moshe , Jean Zinn-Justin

The effective action is computed for the \lphi--theory at finite temperature for small perturbations about a constant background field, using a generalized tadpole method. We find the complete effective action, including the real and…

高能物理 - 唯象学 · 物理学 2009-10-22 Per Elmfors , Kari Enqvist , Iiro Vilja

Models explaining dark matter typically include interactions with charged scalar and fermion fields. The Infra-Red (IR) finiteness of thermal field theories of charged fermions (fermionic QED) has been proven to all orders in perturbation…

高能物理 - 唯象学 · 物理学 2022-10-19 Pritam Sen , D. Indumathi , Debajyoti Choudhury

We study $U(N)_k$ Chern-Simons theory coupled to fundamental fermions and scalars in a large $N$ `t Hooft limit. We compute the thermal free energy at high temperature, as well as two- and three-point functions of simple gauge-invariant…

高能物理 - 理论 · 物理学 2020-01-29 Kristan Jensen , Priti Patil

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

高能物理 - 理论 · 物理学 2021-02-03 Amiya Mishra

We apply a tensor network scheme to finite temperature Z$_2$ gauge theory in 2+1 dimensions. Finite size scaling analysis with the spatial extension up to $N_{\sigma}=4096$ at the temporal extension of $N_\tau=2,3,5$ allows us to determine…

高能物理 - 格点 · 物理学 2019-09-04 Yoshinobu Kuramashi , Yusuke Yoshimura

The perturbation theory for critical points of causal variational principles is developed. We first analyze the class of perturbations obtained by multiplying the universal measure by a weight function and taking the push-forward under a…

数学物理 · 物理学 2020-08-26 Felix Finster

The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite…

统计力学 · 物理学 2022-12-14 Márton Kormos , Dániel Vörös , Gergely Zaránd

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…

高能物理 - 理论 · 物理学 2011-07-19 Sze-Shiang Feng , Dong-Pei Zhu

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

统计力学 · 物理学 2009-10-31 S. A. Morgan

In this paper, we completely characterize time-reversal invariant three-dimensional Chern-Simons gauge theories with torus gauge group. At the level of the Lagrangian, toral Chern-Simons theory is defined by an integral lattice, while at…

高能物理 - 理论 · 物理学 2022-11-29 Roman Geiko , Gregory W. Moore

A geometric formal method for perturbatively expanding functional integrals arising in quantum gauge theories is described when the spacetime is a compact riemannian manifold without boundary. This involves a refined version of the…

高能物理 - 理论 · 物理学 2009-09-25 David H. Adams

It is well known that Chern-Simons Theories are in the constrained systems and their total Hamiltonians become identically zero, because of their gauge invariance. While treating the constraints quantum mechanially, it will be expected taht…

高能物理 - 理论 · 物理学 2013-02-25 M. Nakamura