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20082026
most citedRadiative Correction to the Dirichlet Casimir Energy for Theory in Two Spatial Dimensions

21 citations · 109 across the 17 of their papers we have counts for

collaborators

17 papers

hep-th2026

Radiative Correction to the Casimir Energy for Massive Scalar Field in The Network

M. A. Valuyan

In this paper, we compute the leading-order and first-order radiative corrections to the Casimir energy of a massive Lorentz-violating scalar field governed by a interaction…

hep-th2025★ 1 cited

One-Loop Correction to the Casimir Energy in Lorentz-Violating Theory with Rough Membrane Boundaries

M. A. Valuyan

In this paper, we calculate the radiative correction to the Casimir energy for both massive and massless Lorentz-violating scalar fields confined between two membranes with rough s…

hep-th2024

Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension

M. A. Valuyan

This paper presents comprehensive calculations for thermal and first-order radiative corrections to the Casimir energy in systems involving self-interacting massive and massless sc…

hep-th2024

Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions

M. A. Valuyan

Delving into spring-like helical configurations, such as DNA within our cells, motivates physicists to inquire about the effects of such structures in the realm of quantum field th…

hep-th2021★ 2 cited

One-Loop Correction to The Casimir Energy in Lifshitz-Like Theory

M. A. Valuyan

In the present article, Radiative Correction (RC) to the Casimir energy was computed for the self-interacting massive/massless Lifshitz-like scalar field, confined between a pair o…

hep-th2020★ 3 cited

Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions

M. A. Valuyan

In the present study, the zero- and first-order radiative correction to the Casimir energy for the massive and massless scalar field confined with mixed (Neumann-Dirichlet) boundar…

hep-th2020★ 4 cited

Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions

M. A. Valuyan

The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the…

hep-th2019

Radiative Correction of the Casimir Energy for the Scalar Field with the Mixed Boundary Condition in 3 + 1 Dimensions

M. A. Valuyan

In the present study, the zeroth- and first-order radiative correction of the Casimir energy for massive and massless scalar fields, confined with mixed boundary conditions (Dirich…

hep-th2018★ 5 cited

Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach

M. A. Valuyan

In this study, the Casimir energy for massive scalar field with periodic boundary condition was calculated on spherical surfaces with , and topologies. To obtain t…

hep-th2018★ 7 cited

The Dirichlet Casimir Energy For ϕ^4 Theory in a Rectangular Waveguide

M. A. Valuyan

In this paper, we presented the zero- and first-order radiative corrections to the Casimir energy for a massive scalar field confined with Dirichlet boundary condition in an open-e…

hep-th2018★ 7 cited

The Casimir Energy For Scalar Field With Mixed Boundary Condition

M. A. Valuyan

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann)…

hep-th2018★ 9 cited

The Dirichlet Casimir Energy for Theory in a Rectangle

M. A. Valuyan

In this article, we present the zero and first-order radiative correction to the Dirichlet Casimir energy for massive and massless scalar field confined in a rectangle. This calcul…

hep-th2017★ 6 cited

Radiative Correction to the Casimir Energy for Massive Scalar Field on a Spherical Surface

M. A. Valuyan

In this paper, the first order radiative correction to the Casimir energy for a massive scalar field in the theory on a spherical surface with topology was calculated.…

hep-th2012★ 16 cited

Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach

R. Saghian, M. A. Valuyan, A. Seyedzahedi +1

In this paper we calculate the Casimir energy for a massive fermionic field confined between two points in one spatial dimension, with the MIT Bag Model boundary condition. We comp…

hep-th2009★ 21 cited

Radiative Correction to the Dirichlet Casimir Energy for Theory in Two Spatial Dimensions

S. S. Gousheh, R. Moazzemi, M. A. Valuyan

In this paper, we calculate the next to the leading order Casimir energy for real massive and massless scalar fields within theory, confined between two parallel plates wi…

hep-th2009★ 12 cited

Dirichlet Casimir Energy for a Scalar Field in a Sphere: An Alternative Method

M. A. Valuyan, S. S. Gousheh

In this paper we compute the leading order of the Casimir energy for a free massless scalar field confined in a sphere in three spatial dimensions, with the Dirichlet boundary cond…

hep-th2008★ 16 cited

A Direct Approach to the Electromagnetic Casimir Energy in a Rectangular Waveguide

Madad Ali Valuyan, Reza Moazzemi, Siamak S. Gousheh

In this paper we compute the leading order Casimir energy for the electromagnetic field (EM) in an open ended perfectly conducting rectangular waveguide in three spatial dimensions…