Lorentz violating scalar Casimir effect for a D-dimensional sphere
Por:
Martin-Ruiz, A., Escobar, C. A., Escobar-Ruiz, A. M., Franca, O. J.
Publicada:
30 jul 2020
Resumen:
We investigate the Casimir effect, due to the confinement of a scalar
field in a D-dimensional sphere, with Lorentz symmetry breaking. The
Lorentz-violating part of the theory is described by an additional term
lambda(u center dot partial derivative phi) in the scalar field
Lagrangian, where the parameter lambda and the background vector u(mu)
codify the breakdown of Lorentz symmetry. We compute, as a function of D
> 2, the Casimir stress by using Green's function techniques for two
specific choices of the vector u(mu). In the timelike case, u(mu) = (1,
0, ...,0), the Casimir stress can be factorized as the product of the
Lorentz invariant result times the factor (1 + lambda)(-1/2). For the
radial spacelike case, u(mu) = (0, 1, 0, ..., 0), we obtain an
analytical expression for the Casimir stress which nevertheless does not
admit a factorization in terms of the Lorentz invariant result. For the
radial spacelike case we find that there exists a critical value
lambda(c) = lambda(c)(D) at which the Casimir stress transits from a
repulsive behavior to an attractive one for any D > 2. The physically
relevant case D 1/4 3 is analyzed in detail where the critical value
lambda c vertical bar(D=3) = 0.0025 was found. As in the Lorentz
symmetric case, the force maintains the divergent behavior at positive
even integer values of D.
Filiaciones:
Martin-Ruiz, A.:
Franca, OJ (Corresponding Author), Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad De Mexico 04510, Mexico
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad De Mexico 04510, Mexico
Escobar, C. A.:
Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Ciudad De Mexico 01000, Mexico
Escobar-Ruiz, A. M.:
Univ Autonoma Metropolitana Iztapalapa, Dept Fis, San Rafael Atlixco 186, Ciudad De Mexico 09340, Mexico
Franca, O. J.:
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad De Mexico 04510, Mexico
Hybrid Gold
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