Massive minimal subtraction scheme and "partial-p" in anisotropic Lifshitz space(time)s

Abstract

We introduce the "partial-p" operation in a massive Euclidean lambda phi(4) scalar field theory describing anisotropic Lifshitz critical behavior. We then develop a minimal subtraction a la Bogoliubov- Parasyuk-Hepp-Zimmermann renormalization scheme. As an application we compute critical exponents diagrammatically using the orthogonal approximation at least up to two-loop order and show their equivalence with other renormalization techniques. We discuss possible applications of the method in other field-theoretic contexts. (C) 2015 Elsevier Inc. All rights reserved.

We introduce the "partial-p" operation in a massive Euclidean lambda phi(4) scalar field theory describing anisotropic Lifshitz critical behavior. We then develop a minimal subtraction a la Bogoliubov- Parasyuk-Hepp-Zimmermann renormalization scheme. As an application we compute critical exponents diagrammatically using the orthogonal approximation at least up to two-loop order and show their equivalence with other renormalization techniques. We discuss possible applications of the method in other field-theoretic contexts.