Minimal subtraction formulation of massless fields for generic competing systems

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Santos, Messias V. S.^1 ; Leite, Marcelo M.^1

Laboratório de Física Teórica e Computational, Departamento de Física, Universidade Federal de Pernambuco, Recife, 50670-901, PE, Brazil^1

关键词: Competing systems;    Critical exponent;    Isotropic sector;    Loop level;    Renormalization group;    Scalar fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012232/pdf
DOI  :  10.1088/1742-6596/490/1/012232

来源: IOP

【 摘 要 】

We introduce the method of minimal subtraction in the computation of critical exponents of Lifshitz type generic competing systems using massless fields. We first treat the anisotropic cases, when several independent momentum scales define the renormalization group invariance of the scalar fields. In addition, we analyze the isotropic sector. We compute critical exponents using diagrammatic techniques at least up to two-loop level and show their equivalence with other methods presented in the literature.