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Related papers: A Parity Invariant Regularization in 3-D Quantum E…

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I discuss the role of quantum effects in the phenomenology of effective supergravity theories from compactification of the weakly coupled heterotic string. An accurate incorporation of these effects requires a regularization procedure that…

High Energy Physics - Theory · Physics 2016-12-21 Mary K Gaillard

We carry out a detailed study of the three-point fermion-photon interaction vertex at one loop order for massive fermions in reduced quantum electrodynamics. This calculation is carried out in arbitrary covariant gauges and space-time…

High Energy Physics - Phenomenology · Physics 2023-10-17 Victor Miguel Banda Guzmán , Adnan Bashir , Luis Albino , Dania Rodríguez-Tzintzun

We present a generalization of the Frolov-Slavnov invariant regularization scheme for chiral fermion theories in curved spacetimes. local gauge symmetries of the theory, including local Lorentz invariance. The perturbative scheme works for…

High Energy Physics - Theory · Physics 2016-08-24 Lay Nam Chang , Chopin Soo

A variational method is discussed, based on the principle of minimal variance. The method seems to be suited for gauge interacting fermions, and the simple case of quantum electrodynamics is discussed in detail. The issue of renormalization…

High Energy Physics - Phenomenology · Physics 2014-01-10 Fabio Siringo

We study the regularization and renormalization of the Yang-Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli-Villars fields. Unphysical…

High Energy Physics - Theory · Physics 2009-10-31 Koh-ichi Nittoh

We consider quantum electrodynamics with an additional Lorentz- and CPT-violating axial-vector term in the fermionic sector and discuss the possibility that radiative corrections induce a Lorentz- and CPT-violating Chern-Simons-like term…

High Energy Physics - Theory · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

Chern-Simons (CS) invariant is a fundamental topological invariant describing the topological invariance of 3D space based on the Chern-Simons field theory. To date, direct measurement of the CS invariant in a physical system remains…

Quantum Gases · Physics 2025-09-09 Chang-Rui Yi , Jinlong Yu , Huan Yuan , Xin Chen , Jia-Yu Guo , Jinyi Zhang , Shuai Chen , Jian-Wei Pan

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Ciccolini , C. D. Fosco , F. A. Schaposnik

It is shown that parity operator plays an interesting role in Dirac equation in (1+2) dimensions and can be used for defining chiral currents. It is shown that the "anomalous" current induced by an external gauge field can be related to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Riazuddin

The (2+1) dimensional gauged O(3) nonlinear sigma model with Chern-Simons term is canonically quantized. Furthermore, we study a nonminimal coupling in this model implemented by means of a Pauli-type term. It is shown that the set of…

High Energy Physics - Theory · Physics 2009-11-10 K. C. Mendes , R. R. Landim , C. A. S. Almeida

We introduce the massive gauge invariant, second order pure spin-3 theory in three dimensions. It consists of the addition of the second order gauge invariant massless pure spin-3 action with the first order topological(generalized)…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone , A. Khoudeir

We examine the status of the Chern-Simons (or Kodama) state from the point of view of a formulation of gravity that uses only real connection and metric variables and a real action. We may package the {\it real} connection variables into…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Joao Magueijo

A new symmetry-preserving loop regularization method proposed in \cite{ylw} is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of…

High Energy Physics - Theory · Physics 2009-11-10 Yue-Liang Wu

We consider the nondynamical Chern-Simons (nCS) modified gravity, which is regarded as a parity-odd theory of massive gravity in four dimensions. We first find polarization modes of gravitational waves for $\theta=x/\mu$ in nCS modified…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Yun Soo Myung , Taeyoon Moon

It is demonstrated that in the (2+1)-dimensional topologically massive gauge theories an agreement of the Pauli-Villars regularization scheme with the other schemes can be achieved by employing pairs of auxiliary fermions with the opposite…

High Energy Physics - Theory · Physics 2009-10-28 J. Gegelia , A. Khelashvili , N. Kiknadze

We study a three-dimensional non-compact QED with a single two-component massless fermion and two infinitely massive regulator fermions of half the charge using lattice overlap formalism. The parity anomaly is expected to cancel exactly…

High Energy Physics - Lattice · Physics 2018-08-01 Nikhil Karthik , Rajamani Narayanan

In this paper, the versions of quantum electrodynamics (QED) with spinors in fermion equations are briefly examined. In the new variants of the theory, the concept of vacuum polarization is unnecessary. The new content of fermion vacuum…

General Physics · Physics 2021-10-08 V. P. Neznamov

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains…

High Energy Physics - Theory · Physics 2007-05-23 I. V. Tyutin , Vad. Yu. Zeitlin

When a quantum field theory has a symmetry, global or local like in gauge theories, in the tree or classical approximation formal manipulations lead to believe that the symmetry can also be implemented in the full quantum theory, provided…

High Energy Physics - Theory · Physics 2007-05-23 J. Zinn-Justin

We analyze some features of the perturbative quantization of Chern-Simons theory (CST) in the Landau gauge. In this gauge the theory is known to be perturbatively finite. We consider the renormalization scheme in which the renormalized…

High Energy Physics - Theory · Physics 2007-05-23 G. Giavarini , C. P. Martin , F. Ruiz Ruiz
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