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

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

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

The effective diagram technique based on the Schwinger-Dyson equations is constructed for N = 1 SQED with N-f flavors, regularized by higher derivatives. Using...

Renormalization Group | Keywords: Supersymmetric gauge theory | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | ANOMALY PUZZLE | Supersymmetric gauge theory | QUANTUM CORRECTIONS | SCHEME | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Renormalization Group | Keywords: Supersymmetric gauge theory | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | ANOMALY PUZZLE | Supersymmetric gauge theory | QUANTUM CORRECTIONS | SCHEME | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2018, Volume 2018, Issue 4, pp. 1 - 37

We investigate a recently proposed new form of the exact NSVZ Î²-function, which relates the Î²-function to the anomalous dimensions of the quantum gauge...

Renormalization Regularization and Renormalons | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INVARIANT REGULARIZATION | SUPERSYMMETRIC DIMENSIONAL REGULARIZATION | NON-RENORMALIZATION | SUSY GAUGE-THEORIES | N-F FLAVORS | HIGHER COVARIANT DERIVATIVES | QUANTUM CORRECTIONS | BACKGROUND FIELD METHOD | YANG-MILLS THEORIES | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Couplings | Supersymmetry | Ghosts | Subtraction | Gauge theory | Integrals | Derivatives | Program verification (computers) | Regularization | Physics - High Energy Physics - Theory | Phenomenology | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Renormalization Regularization and Renormalons | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INVARIANT REGULARIZATION | SUPERSYMMETRIC DIMENSIONAL REGULARIZATION | NON-RENORMALIZATION | SUSY GAUGE-THEORIES | N-F FLAVORS | HIGHER COVARIANT DERIVATIVES | QUANTUM CORRECTIONS | BACKGROUND FIELD METHOD | YANG-MILLS THEORIES | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Couplings | Supersymmetry | Ghosts | Subtraction | Gauge theory | Integrals | Derivatives | Program verification (computers) | Regularization | Physics - High Energy Physics - Theory | Phenomenology | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

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 Î²-function is...

Supersymmetry | Î²-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

Supersymmetry | Î²-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

Journal of High Energy Physics, ISSN 1126-6708, 1/2015, Volume 2015, Issue 1, pp. 1 - 29

The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to...

Supersymmetric gauge theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP EQUATIONS | BETA-FUNCTION | C-THEOREM | MANN LOW FUNCTION | QUANTUM-FIELD THEORY | N=1 SUPERSYMMETRY | DIMENSIONAL REDUCTION | RIGID SUPERSYMMETRIC THEORIES | YANG-MILLS THEORIES | COUPLINGS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | High Energy Physics - Theory | Lattice

Supersymmetric gauge theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP EQUATIONS | BETA-FUNCTION | C-THEOREM | MANN LOW FUNCTION | QUANTUM-FIELD THEORY | N=1 SUPERSYMMETRY | DIMENSIONAL REDUCTION | RIGID SUPERSYMMETRIC THEORIES | YANG-MILLS THEORIES | COUPLINGS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | High Energy Physics - Theory | Lattice

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

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

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

We briefly review the calculations of quantum corrections related to the exact Novikov-Shifman-Vainshtein-Zakharov (NSVZ) Î²-function in N=1 supersymmetric...

supersymmetry | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Î² -function | Physics | renormalization | Î²-function | N=1 | PHYSICS, MULTIDISCIPLINARY | INSTANTONS | PHYSICS, MATHEMATICAL | SCHEME | UNIVERSAL INVARIANT RENORMALIZATION | GAUGE-THEORIES | HIGHER-DERIVATIVE REGULARIZATION | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | beta-function

supersymmetry | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Î² -function | Physics | renormalization | Î²-function | N=1 | PHYSICS, MULTIDISCIPLINARY | INSTANTONS | PHYSICS, MATHEMATICAL | SCHEME | UNIVERSAL INVARIANT RENORMALIZATION | GAUGE-THEORIES | HIGHER-DERIVATIVE REGULARIZATION | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | beta-function

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

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 Î²-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 | Î²-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

Supersymmetry | Higher covariant derivative regularization | Subtraction scheme | Î²-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

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

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 Î²-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 | Î²-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

Supersymmetry | Higher covariant derivative regularization | Subtraction scheme | Î²-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

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

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 Î²-function to the anomalous dimension...

INVARIANT REGULARIZATION | BETA-FUNCTION | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | COUPLINGS | MANN-LOW FUNCTION | DERIVATIVES | PHYSICS, PARTICLES & FIELDS

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

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