231 citations · 431 across the 30 of their papers we have counts for
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Skewed Sudakov Regime, Harmonic Numbers, and Multiple Polylogarithms
Victor T. Kim, Victor A. Matveev, Grigorii B. Pivovarov
On the example of massless QED we study an asymptotic of the vertex when only one of the two virtualities of the external fermions is sent to zero. We call this regime the skewed S…
Non-perturbative renormalization: a new way
G. B. Pivovarov
The notion of non-perturbative renormalization is discussed and extended. Within the extended picture, a new non-perturbative representation for the generating functional of Green…
Multi-particle Processes and Tamed Ultraviolet Divergences
Victor Kim, Grigorii Pivovarov
New approach to computing the amplitudes of multi-particle processes in renormalizable quantum field theories is presented. Its major feature is a separation of the renormalization…
The inaction approach to gauge theories
Grigorii Pivovarov
The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fi…
Zero Modes in Light-Front
G. B. Pivovarov
Within a scheme of light front quantization of , it is demonstrated that dynamics of zero modes implies phase transition, and that the critical value of the coupling coi…
Gaussian Effective Potential in Light Front
G. B. Pivovarov
Gaussian effective potential is obtained for quantized on a light front. It coincides with the one obtained previously within the equal time quantization. The computati…
Phase Transition in Light-Front
V. T. Kim, G. B. Pivovarov, J. P. Vary
We reproduce Chang's duality condition in a regularized theory quantized on a light front. The regularization involves higher derivatives in the Lagrangian, renders the…
Ab initio results for the broken phase of scalar light front field theory
Dipankar Chakrabarti, A. Harindranath, Lubomir Martinovic +2
We present nonperturbative light-front energy eigenstates in the broken phase of a two dimensional quantum field theory using Discrete Light Cone Quantization and e…
A Non-Abelian Fourier Transform for Gauge Theories
Grigorii B. Pivovarov, James P. Vary
We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in su…
The Challenge of Light-Front Quantisation: Recent Results
Victor T. Kim, Victor A. Matveev, Grigorii B. Pivovarov +1
We explain what is the challenge of light-front quantisation, and how we can now answer it because of recent progress in solving the problem of zero modes in the case of non-Abelia…
Canonical Formulation of the Light-Front Gluodynamics and Quantization of the Non-Abelian Plane Waves
Victor T. Kim, Victor A. Matveev, Grigorii B. Pivovarov +1
Without a gauge fixing, canonical variables for the light-front SU(2) gluodynamics are determined. The Gauss law is written in terms of the canonical variables. The system is quali…
New Algebra of Local Symmetries for Regge Limit of Yang-Mills Theories
Victor A. Matveev, Grigorii B. Pivovarov
Local effective action is derived to describe Regge asymptotic of Yang-Mills theories. Local symmetries of the effective action originating from the gauge symmetry of the underlyin…
Effective Regge QCD
Victor T. Kim, Grigorii B. Pivovarov
A new framework for a high energy limit of quantum gauge field theories is introduced. Its potency is illustrated on a new derivation of the reggeization of the gluon.