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arXiv · 1402.7119

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

Emanuel V. Souza·Paulo R. S. Carvalho·Marcelo M. Leite
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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.

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Emanuel V. Souza, Paulo R. S. Carvalho, Marcelo M. Leite. 2014-02-28. Massive minimal subtraction scheme and "partial-$p$" in anisotropic Lifshitz space(time)s. https://arxiv.org/abs/1402.7119

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