Anisotropic scale invariance and the uniaxial Lifshitz point from the nonperturbative renormalization group
Resumen:
We employ the derivative expansion of the nonperturbative renormalization group to address the phenomenon of anisotropic scale invariance and the associated functional fixed points, also known as Lifshitz points, in systems characterized by a scalar order parameter. We demonstrate the existence of the Lifshitz fixed point featuring a non-classical value of the anisotropy exponent θ<1/2 and provide estimates for values of a set of critical exponents in the physically most relevant case of the three-dimensional uniaxial Lifshitz point (d,m)=(3,1), m denoting the anisotropy index. We compare our predictions with existing estimates from perturbative expansions around dimensionality d=4+1/2 as well as those from the 1/N expansion.
| 2026 | |
| Agencia Nacional de Investigación e Innovación | |
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Critical phenomena Lifshitz point Renormalization group Ciencias Naturales y Exactas Ciencias Físicas Física de los Materiales Condensados |
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| Inglés | |
| Agencia Nacional de Investigación e Innovación | |
| REDI | |
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https://hdl.handle.net/20.500.12381/5539
https://doi.org/10.1103/wqv2-rv2j |
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| Acceso abierto | |
| Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND) |
