Научная статья на тему 'NSVZ β-FUNCTION AND NSVZ SCHEME WITH THE HIGHER COVARIANT DERIVATIVE REGULARIZATION IN THE NON-ABELIAN CASE'

NSVZ β-FUNCTION AND NSVZ SCHEME WITH THE HIGHER COVARIANT DERIVATIVE REGULARIZATION IN THE NON-ABELIAN CASE Текст научной статьи по специальности «Физика»

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SUPERSYMMETRY / NSVZ β-FUNCTION

Аннотация научной статьи по физике, автор научной работы — Stepanyantz K.

We briefly describe the perturbative derivation of the NSVZ β-function in N = 1 supersymmetric theories regularized by higher covariant derivatives and of a renormalization prescription under which the NSVZ β-function is valid in all orders.

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Текст научной работы на тему «NSVZ β-FUNCTION AND NSVZ SCHEME WITH THE HIGHER COVARIANT DERIVATIVE REGULARIZATION IN THE NON-ABELIAN CASE»

20th LOMONOSOV CONFERENCE ON ELEMENTARY PARTICLE PHYSICS

41

Generalized LKF Transformations for N-Point Fermion Correlators in QED

J. Nicasio1'", N. Ahmadiniaz2, J. P. Edwards1, Ch. Schubert1 E-mail: ajose.nicasio@umich.mx

1 Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México 2Helmholtz-Zentrum Dresden-Rossendorf. Dresden, 01328 Gernamy Received January 16, 2022

Within the worldline approach to quantum electrodynamics (QED), a change of the photon's covariant gauge parameter £ is investigated to analyse the non-perturbative gauge dependence of the configuration space fermion correlation functions, deriving a generalization of the Landau-Kalatnikov-Fradkin transformations (LKFt). These transformations reveal how the non-perturbative gauge dependence of position space amplitudes can be extracted into a multiplicative exponential factor.

Keywords: quantum field theory, LKF transformations, gauge symmetry, worldline formalism.

English version: Moscow University Physics Bulletin. 2022. 77, No. 2. Pp. 466-469.

Correction to the Photon Index of Refraction due to Neutral Dirac Fermions

with Magnetic Moment

Maria Petropavlova1'", Adam Smetana2'6 E-mail: amariia.petropavlova@cvut.cz, 6adam.smetana@cvut.cz

1 Faculty of Mathematics and Physics, Charles University. Praga, Czech Republic 2Institute of Experimental and Applied Physics, Czech Technical University Praga, Czech Republic

Received January 16, 2022

Light passing through the medium of massive neutral Dirac fermions with magnetic moment might experience change in the index of refraction with respect to vacuum. Possible candidates for a pure medium of massive neutral dirac fermions with magnetic moment are cosmic neutrino background (CNB) and dark matter (DM). In this work, using thermal quantum field theory and its real-time formalism, we calculate the correction to the photon index of refraction due to the presence of medium of neutral Dirac fermions with CNB-like statistical properties, for which we find exactly zero effect.

Keywords: neutrino, magnetic moment, cosmic neutrino background.

English version: Moscow University Physics Bulletin. 2022. 77, No. 2. Pp. 470-471.

NSVZ ft-Function and NSVZ Scheme with the Higher Covariant Derivative Regularization in the Non-Abelian Case

K. Stepanyantz E-mail: stepan@m9com.ru

Department of Theoretical Physics, Faculty of Physics, Moscow Sate University. Moscow, 119991, Russia

Received February 22, 2022

We briefly describe the perturbative derivation of the NSVZ ¡-function in N =1 supersymmetric theories regularized by higher covariant derivatives and of a renormalization prescription under which the NSVZ function is valid in all orders.

Keywords: supersymmetry, NSVZ ¡ -function..

English version: Moscow University Physics Bulletin. 2022. 77, No. 2. Pp. 474-475.

Chiral Asymmetry and Phase Diagram of the Two-Color QCD

T.G. Khunjua1, K.G. Klimenko2, R.N. Zhokhov3'" E-mail: azhokhovr@gmail.com

1The University of Georgia. Tbilisi, GE-0171 Georgia 2NRC «Kurchatov Institute»-Institute for High Energy Physics. Protvino, 142281, Russia 3Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation. Troitsk, 108840, Russia

Received April 4, 2022

Phase diagram of two-color quark matter with chiral chemical potential has been investigated in the framework of effective model. One can witness a rather rich phase structure, where, for example, can play the role of universal catalyzer for all phenomena and exhibit the ability to mimicry all other chemical potentials.

Keywords: phase diagram, two-color quark matter, chiral chemical potential.

English version: Moscow University Physics Bulletin. 2022. 77, No. 2. Pp. 476-477.

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