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Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 08/2014, Volume 90, Issue 4
We study N = (0,2) deformed (2, 2) two-dimensional sigma models. Such hete-rotic models were discovered previously on the world sheet of non-Abelian strings... 
GAUGE-THEORIES | SUPERSYMMETRY | CHIRAL ALGEBRAS | INSTANTONS | ASTRONOMY & ASTROPHYSICS | MANN-LOW FUNCTION | DEPENDENCE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 49
For a general N = 1 supersymmetric gauge theory regularized by higher covariant derivatives we prove in all orders that the beta-function defined in terms of... 
INVARIANT REGULARIZATION | NSVZ RELATION | BREAKING | NON-RENORMALIZATION | Renormalization Regularization and Renormalons | N-F FLAVORS | SCHEME | THEOREMS | Supersymmetric Gauge Theory | YANG-MILLS THEORIES | COUPLINGS | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Couplings | Supersymmetry | Gauge theory | Derivatives | Mathematical analysis | Integrals
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 2014, Volume 2014, Issue 8
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 852, Issue 1, pp. 71 - 107
For N = 1 supersymmetric quantum electrodynamics, regularized by higher derivatives, a method for summation of all Feynman diagrams defining the β-function is... 
Supersymmetry | β-Function | Higher derivative regularization | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | CHARGE RENORMALIZATION | ANOMALY PUZZLE | FINITENESS | BEHAVIOR | ss-Function | ORDER | YANG-MILLS THEORIES | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
European Physical Journal C, ISSN 1434-6044, 02/2016, Volume 76, Issue 2, pp. 1 - 12
We investigate some peculiarities in the calculation of the two-loop beta function of N = 1 supersymmetric models which are intimately related to the so-called... 
ANOMALY PUZZLE | SCHEME | SUPER-CURRENT | YANG-MILLS THEORIES | IMPLICIT REGULARIZATION | MANN-LOW FUNCTION | INFRARED DIVERGENCES | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics - Theory
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 01/2018, Volume 926, Issue C, pp. 295 - 320
We calculate the Adler D-function for N=1 SQCD in the three-loop approximation using the higher covariant derivative regularization and the NSVZ-like... 
SCHEME | UNIVERSAL INVARIANT RENORMALIZATION | GAUGE-THEORIES | QUANTUM-CHROMODYNAMIC CORRECTIONS | NSVZ BETA-FUNCTION | SUPERSYMMETRIC YANG | YANG-MILLS THEORIES | COUPLINGS | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 12/2014, Volume 181, Issue 3, pp. 1531 - 1540
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 05/2013, Volume 87, Issue 10
We investigate some higher-loop structural properties of the beta function in asymptotically free vectorial gauge theories. Our main focus is on theories with... 
RENORMALIZATION-GROUP | SUPERSYMMETRIC DIMENSIONAL REGULARIZATION | CHIRAL HIERARCHIES | ASTRONOMY & ASTROPHYSICS | PHASE-TRANSITION | YANG-MILLS THEORIES | DUALITY | CONFORMAL WINDOW | MANN-LOW FUNCTION | LIGHT DILATION | TECHNICOLOR THEORIES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, ISSN 0370-2693, 03/2014, Volume 730, pp. 184 - 189
The exact NSVZ β-function is obtained for N=1 SQED with flavors in all orders of the perturbation theory, if the renormalization group functions are defined in... 
Supersymmetry | Higher covariant derivative regularization | Subtraction scheme | β-Function | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | PHYSICS, NUCLEAR | beta-Function | ASTRONOMY & ASTROPHYSICS | YANG-MILLS THEORIES | 3-LOOP BETA-FUNCTION | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, ISSN 0370-2693, 01/2017, Volume 764, pp. 222 - 227
At the three-loop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. This is done by the method analogous... 
Supersymmetry | Dimensional reduction | NSVZ beta-function | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | BETA-FUNCTION | ASTRONOMY & ASTROPHYSICS | YANG | PHYSICS, NUCLEAR | MANN-LOW FUNCTION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article
EUROPEAN PHYSICAL JOURNAL C, ISSN 1434-6044, 06/2019, Volume 79, Issue 6
In this paper we investigate the renormalization of N=1 supersymmetric quantum electrodynamics, regularized by higher derivatives, in the on-shell scheme. It... 
SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | BETA-FUNCTION | COUPLINGS | MANN-LOW FUNCTION | DERIVATIVES | PHYSICS, PARTICLES & FIELDS
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 10/2013, Volume 875, Issue 2, pp. 459 - 482
The exact NSVZ relation between a β-function of N=1 SQED and an anomalous dimension of the matter superfields is studied within the Slavnov higher derivative... 
Supersymmetry | Higher covariant derivative regularization | Subtraction scheme | β-Function | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | SERIES | DEPENDENCE | beta-Function | YANG-MILLS THEORIES | 3-LOOP BETA-FUNCTION | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 10/2016, Volume 31, Issue 28n29, p. 1645040
We study two-dimensional sigma models where the chiral deformation diminished the original = ( 2 , 2 ) supersymmetry to the chiral one, = ( 0 , 2 ) . Such... 
QFT and Beyond | GAUGE-THEORIES | ALGEBRAS | INSTANTONS | PHYSICS, NUCLEAR | MANN-LOW FUNCTION | DEPENDENCE | PHYSICS, PARTICLES & FIELDS
Journal Article
JETP Letters, ISSN 0021-3640, 01/2017, Volume 105, Issue 2, pp. 69 - 73
In the case of using the higher derivative regularization, we construct the subtraction scheme that gives the NSVZ-like relation for the anomalous dimension of... 
INVARIANT REGULARIZATION | BREAKING | BETA-FUNCTION | SUPERSYMMETRY | PHYSICS, MULTIDISCIPLINARY | SUPERGRAPHS | N-F FLAVORS | MANN-LOW FUNCTION | RENORMALIZATION
Journal Article
Physics Letters B, ISSN 0370-2693, 10/2018, Volume 785, pp. 561 - 566
For the N=1 supersymmetric electrodynamics we investigate renormalization schemes in which the NSVZ equation relating the β-function to the anomalous dimension... 
INVARIANT REGULARIZATION | BETA-FUNCTION | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | COUPLINGS | MANN-LOW FUNCTION | DERIVATIVES | PHYSICS, PARTICLES & FIELDS
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 06/2014, Volume 883, Issue 1, pp. 20 - 44
We construct a new version of the higher covariant derivative regularization for a general N=2 supersymmetric gauge theory formulated in terms of N=1... 
CHARGE RENORMALIZATION | YANG-MILLS THEORY | UNIVERSAL INVARIANT RENORMALIZATION | GAUGE-THEORIES | ELECTRODYNAMICS | FIELD | 3-LOOP BETA-FUNCTION | LIGHT-CONE | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article