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20202026
most citedCancellation of divergences in the nonprojectable Horava theory

25 citations · 71 across the 13 of their papers we have counts for

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hep-th2026

Quantum corrections to the Casimir effect in a scalar Hořava-Lifshitz theory with rough plates at low temperature

Claudio Bórquez, Byron Droguett

We investigate the Casimir effect of a massive, self-interacting real scalar field with quartic coupling in a -dimensional Hořava-Lifshitz-type theory, subject to rough boun…

hep-th2026

One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime

Claudio Bórquez, Byron Droguett

We present a theoretical analysis of the one-loop effective potential of a self-interacting real scalar field in the presence of two parallel conducting plates with geometric rough…

hep-th2025★ 1 cited

Batalin-Fradkin-Vilkovisky Quantization of Quadratic Gravity

Jorge Bellorin, Claudio Bórquez, Byron Droguett

We present the Batalin-Fradkin-Vilkovisky quantization of the quadratic gravity theory, which is the most general theory with terms up to quadratic order in curvature. This approac…

hep-th2024★ 7 cited

Renormalization of the nonprojectable Horava theory

Jorge Bellorin, Claudio Borquez, Byron Droguett

We present the proof of renormalization of the Horava theory, in the nonprojectable version. We obtain a form of the quantum action that exhibits a manifest BRST-symmetry structure…

hep-th2024★ 3 cited

Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario

Byron Droguett, Claudio Bórquez

We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spac…

hep-th2024★ 6 cited

Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory

Claudio Bórquez, Byron Droguett

We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory in 2+1 dimensions. Quantum fluctuations are induced by an anisotropic scala…

hep-th2023★ 6 cited

Effective action of the Horava theory: Cancellation of divergences

Jorge Bellorin, Claudio Borquez, Byron Droguett

We compute the one-loop effective action of the Horava theory, in its nonprojectable formulation. We take the quantization of the (2+1)-dimensional theory in the Batalin-Fradkin-Vi…

hep-th2023★ 1 cited

Quantization of the anisotropic conformal Horava theory

Jorge Bellorin, Claudio Borquez, Byron Droguett

We perform the Batalin-Fradkin-Vilkovisky quantization of the anisotropic conformal Horava theory in d spatial dimensions. We introduce a model with a conformal potential suitable…

hep-th2023★ 5 cited

Casimir effect in 2+1 Horava gravity

Claudio Bórquez, Byron Droguett

We study the Casimir effect of a membrane embedded in 2+1 dimensions flat cone generated by a massive particle located at the origin of the coordinate system. The flat cone is an e…

hep-th2022★ 8 cited

BRST symmetry and unitarity of the Horava theory

Jorge Bellorin, Claudio Borquez, Byron Droguett

We present an analysis on the BRST symmetry transformations of the Horava theory under the BFV quantization, both in the nonprojectable and projectable cases. We obtain that the BR…

hep-th2022★ 25 cited

Cancellation of divergences in the nonprojectable Horava theory

Jorge Bellorin, Claudio Borquez, Byron Droguett

We perform an analysis of the ultraviolet divergences of the quantum nonprojectable Horava gravity. We work the quantum field theory directly in the Hamiltonian formalism provided…

hep-th2022★ 8 cited

Quantum Lagrangian of the Horava theory and its nonlocalities

Jorge Bellorin, Claudio Borquez, Byron Droguett

We perform the BFV quantization of the 2+1 projectable and the 3+1 nonprojectable versions of the Horava theory. This is a Hamiltonian formalism, and noncanonical gauges can be use…