Callan-Symanzik method for m-axial Lifshitz points
- Laboratorio de Fisica Teorica e Computacional, Departamento de Fisica, Universidade Federal de Pernambuco, Av. Prof. Luiz Freire, s/n, 50670-901 Recife, PE (Brazil), E-mail: renato@df.ufpe.br
- Laboratorio de Fisica Teorica e Computacional, Departamento de Fisica, Universidade Federal de Pernambuco, Av. Prof. Luiz Freire, s/n, 50670-901 Recife, PE (Brazil), E-mail: mleite@df.ufpe.br
We introduce the Callan-Symanzik method in the description of anisotropic as well as isotropic Lifshitz critical behaviors. Renormalized perturbation theories are defined by normalization conditions with nonvanishing masses and at zero external momenta. We prove the multiplicative renormalizability of the field-theoretic formulation at the critical dimension. The orthogonal approximation is employed to obtain the critical indices {eta}{sub L2}, {nu}{sub L2}, {eta}{sub L4} and {nu}{sub L4} diagrammatically at least up to two-loop order in the anisotropic criticalities. This approximation is also utilized to compute the exponents {eta}{sub L4} and {nu}{sub L4} in the isotropic case. Furthermore, we compute those exponents exactly for the isotropic behaviors at the same loop order. The results obtained for all exponents are in perfect agreement with those previously derived in the massless theories renormalized at nonzero external momenta.
- OSTI ID:
- 21167703
- Journal Information:
- Annals of Physics (New York), Vol. 324, Issue 1; Other Information: DOI: 10.1016/j.aop.2008.05.006; PII: S0003-4916(08)00085-7; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
Similar Records
Calculation of Callan--Symanzik equation parameters using dimensional regularization
Callan-Symanzik equation and asymptotic freedom in the Marr-Shimamoto model