Casimir force in a Lorentz violating theory

Frank, Mariana
Turan, İsmail
We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in the vacuum. We provide explicit solutions for the electromagnetic field using scalar field analogy, for both the cases in which the Lorentz violating terms come from the CPT-even or CPT-odd terms. We also calculate the effects of the Lorentz violating terms for a fermion field between two parallel conducting plates and analyze the modifications of the Casimir force due to the modifications of the Dirac equation. In all cases under consideration, the standard formulas for the Casimir force are modified by either multiplicative or additive correction factors, the latter case exhibiting different dependence on the distance between the plates.


Casimir force in Randall-Sundrum models
Frank, Mariana; Turan, İsmail; Ziegler, Lorric (American Physical Society (APS), 2007-07-01)
We discuss and compare the effects of one extra dimension in the Randall-Sundrum models on the evaluation of the Casimir force between two parallel plates. We impose the condition that the result reproduce the experimental measurements within the known uncertainties in the force and the plate separation, and get an upper bound kR less than or similar to 20 if the curvature parameter k of AdS(5) is equal to the Planck scale. Although the upper bound decreases as k decreases, kR similar to 12, which is the re...
Casimir force in Randall-Sundrum models with q+1 dimensions
Frank, Mariana; Saad, Nasser; Turan, İsmail (American Physical Society (APS), 2008-09-01)
We evaluate the Casimir force between two parallel plates in Randall-Sundrum (RS) scenarios extended by q compact dimensions. After giving exact expressions for one extra compact dimension (6D RS model), we generalize to an arbitrary number of compact dimensions. We present the complete calculation for both the two-brane scenario (RSI model) and the one-brane scenario (RSII model) using the method of summing over the modes. We investigate the effects of extra dimensions on the magnitude and sign of the forc...
Spontaneous symmetry breaking at two loop in 3-d massless scalar electrodynamics
Tan, PN; Tekin, Bayram; Hosotani, Y (Elsevier BV, 1996-11-21)
In three-dimensional Maxwell-Chem-Simons massless scalar electrodynamics with phi(6) coupling, the U(1) symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional transmutation takes place in pure Chem-Simons scalar electrodynamics. The beta function for the phi(6) coupling is independent of gauge couplings.
Noncommutative nonlinear sigma models and integrability
Kürkcüoğlu, Seçkin (American Physical Society (APS), 2008-09-01)
We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
Pair production of charged scalars and lepton flavor violating signals in the littlest Higgs model at e(+)e(-) colliders
Cagil, A. (Elsevier BV, 2011-02-01)
In this work pair productions of charged and doubly charged scalars in the framework of littlest Higgs model at e(+)e(-) colliders are studied. In the allowed parameter space of the littlest Higgs model, the production rates of the scalar pairs are calculated. It is obtained that pair productions of charged and doubly charged scalars are reachable at e(+)e(-) colliders with energy root S >= 1.7 TeV. Using the lepton flavor violating decays of charged scalars calculated in literature, final state analysis is...
Citation Formats
M. Frank and İ. Turan, “Casimir force in a Lorentz violating theory,” PHYSICAL REVIEW D, pp. 0–0, 2006, Accessed: 00, 2020. [Online]. Available: