Competing interactions and the Lifshitz-type nonlinear sigma Model (2013)
- Authors:
- Autor USP: GOMES, MARCELO OTAVIO CAMINHA - IF
- Unidade: IF
- Subjects: TEORIA DE CAMPOS; TEORIA NÃO LINEAR
- Language: Inglês
- Abstract: We establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher order spatial derivative operators, which breaks the Lorentz symmetry and is known as Lifshitz-type (or anisotropic) nonlinear sigma model. In the context of the 1/N expansion, we also discuss the renormalization properties of this nonlinear sigma model and find the nontrivial fixed points of the β-functions in various dimensions, which turn out to be connected with the existence of phase transitions in the quantum spherical model
- Imprenta:
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ABNT
GOMES, Pedro R S e BIENZOBAZ, P F e GOMES, Marcelo Otávio Caminha. Competing interactions and the Lifshitz-type nonlinear sigma Model. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1305.3792v2.pdf. Acesso em: 19 abr. 2024. , 2013 -
APA
Gomes, P. R. S., Bienzobaz, P. F., & Gomes, M. O. C. (2013). Competing interactions and the Lifshitz-type nonlinear sigma Model. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1305.3792v2.pdf -
NLM
Gomes PRS, Bienzobaz PF, Gomes MOC. Competing interactions and the Lifshitz-type nonlinear sigma Model [Internet]. 2013 ;[citado 2024 abr. 19 ] Available from: http://lanl.arxiv.org/pdf/1305.3792v2.pdf -
Vancouver
Gomes PRS, Bienzobaz PF, Gomes MOC. Competing interactions and the Lifshitz-type nonlinear sigma Model [Internet]. 2013 ;[citado 2024 abr. 19 ] Available from: http://lanl.arxiv.org/pdf/1305.3792v2.pdf - Dynamical gauge boson in the su (n,1) type 'DELTA' model
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