Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2018, Volume 51, Issue 21, p. 215202

The purpose of this work in to analyze particle creation in spaces with extra dimensions. We consider, in particular, a massive scalar field propagating in a...

vacuum instability | extra dimensions | Kaluza-Klein dimensions | particle creation | spectral zeta function | PHYSICS, MULTIDISCIPLINARY | FIELD | PHYSICS, MATHEMATICAL | PAIR PRODUCTION | Physics - High Energy Physics - Theory

vacuum instability | extra dimensions | Kaluza-Klein dimensions | particle creation | spectral zeta function | PHYSICS, MULTIDISCIPLINARY | FIELD | PHYSICS, MATHEMATICAL | PAIR PRODUCTION | Physics - High Energy Physics - Theory

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 11/2017, Volume 32, Issue 31, p. 1750182

This work focuses on the analysis of the Casimir effect for pistons subject to transmittal boundary conditions. In particular we consider, as piston...

zeta function regularization | Casimir effect | Casimir pistons | ENERGY | ZETA-FUNCTIONS | SCALAR FIELDS | PHYSICS, NUCLEAR | LAPLACE OPERATOR | ASYMPTOTICS | D-DIMENSIONAL BALL | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

zeta function regularization | Casimir effect | Casimir pistons | ENERGY | ZETA-FUNCTIONS | SCALAR FIELDS | PHYSICS, NUCLEAR | LAPLACE OPERATOR | ASYMPTOTICS | D-DIMENSIONAL BALL | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 02/2015, Volume 891, pp. 676 - 699

In this work we analyze the Casimir energy and force for a scalar field endowed with general self-adjoint boundary conditions propagating in a higher...

REPULSIVE NATURE | ENERGY | ZETA-FUNCTIONS | FORCE | SCALAR FIELDS | LAPLACE OPERATOR | D-DIMENSIONAL BALL | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

REPULSIVE NATURE | ENERGY | ZETA-FUNCTIONS | FORCE | SCALAR FIELDS | LAPLACE OPERATOR | D-DIMENSIONAL BALL | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 11/2018, Volume 108, Issue 11, pp. 2453 - 2478

It is well known that the asymptotic expansion of the trace of the heat kernel for Laplace operators on smooth compact Riemannian manifolds can be obtained...

35J10 | Theoretical, Mathematical and Computational Physics | Complex Systems | Heat kernel | Semiclassical techniques | Physics | 34E05 | Geometry | Asymptotic expansion | 35K08 | Schrödinger operator | Operators in quantum field theory | Group Theory and Generalizations | 81Q20 | 81Q10 | 81Q80 | Harmonic oscillator | FORM | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL | BOSE-EINSTEIN CONDENSATION | SEMIGROUPS | ULTRACONTRACTIVITY | Schrodinger operator | SCHRODINGER | PROPAGATOR

35J10 | Theoretical, Mathematical and Computational Physics | Complex Systems | Heat kernel | Semiclassical techniques | Physics | 34E05 | Geometry | Asymptotic expansion | 35K08 | Schrödinger operator | Operators in quantum field theory | Group Theory and Generalizations | 81Q20 | 81Q10 | 81Q80 | Harmonic oscillator | FORM | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL | BOSE-EINSTEIN CONDENSATION | SEMIGROUPS | ULTRACONTRACTIVITY | Schrodinger operator | SCHRODINGER | PROPAGATOR

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 02/2016, Volume 31, Issue 6, p. 1650012

In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function...

Casimir effect | piston configurations | spectral zeta function | DIMENSIONS | ENERGY | ZETA-FUNCTIONS | FORCE | BOUNDARY-CONDITIONS | SCALAR FIELDS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Casimir effect | piston configurations | spectral zeta function | DIMENSIONS | ENERGY | ZETA-FUNCTIONS | FORCE | BOUNDARY-CONDITIONS | SCALAR FIELDS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 03/2018, Volume 59, Issue 3, p. 33503

In this work, we consider the one-loop effective action of a self-interacting λϕ4 field propagating in a D dimensional Euclidean space endowed with d ≤ D...

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 03/2018, Volume 59, Issue 3

In this work, we consider the one-loop effective action of a self-interacting λφ4 field propagating in a D dimensional Euclidean space endowed with d ≤ D...

Euclidean geometry | Topological manifolds | Boundary conditions | Dirichlet problem | Euclidean space | Critical temperature

Euclidean geometry | Topological manifolds | Boundary conditions | Dirichlet problem | Euclidean space | Critical temperature

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 03/2018, Volume 59, Issue 3

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 11/2011, Volume 52, Issue 11, pp. 113501 - 113501-15

In this work, we exploit Jonquière's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the...

PHYSICS, MATHEMATICAL | DERIVATIVES | EXPANSION

PHYSICS, MATHEMATICAL | DERIVATIVES | EXPANSION

Journal Article

10.
Full Text
Some new results for the one-loop mass correction to the compactified lambda phi(4) theory

JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, 03/2018, Volume 59, Issue 3

In this work, we consider the one-loop effective action of a self-interacting lambda phi(4) field propagating in a D dimensional Euclidean space endowed with d...

VACUUM | ENERGY | TOPOLOGICAL SYMMETRY-BREAKING | GENERAL ZETA-FUNCTIONS | CURVED SPACE-TIME | REGULARIZATION | PHYSICS, MATHEMATICAL | TOROIDAL SPACETIME | RENORMALIZATION

VACUUM | ENERGY | TOPOLOGICAL SYMMETRY-BREAKING | GENERAL ZETA-FUNCTIONS | CURVED SPACE-TIME | REGULARIZATION | PHYSICS, MATHEMATICAL | TOROIDAL SPACETIME | RENORMALIZATION

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 10/2009, Volume 50, Issue 10, pp. 102301 - 102301-18

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly...

ZETA-FUNCTION | COVARIANT THEORY | gravitation | vacuum (elementary particles) | space-time configurations | HOMOGENEOUS BUNDLES | renormalisation | quantum electrodynamics | HEAT KERNEL | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | GRAVITY | MAGNETIC FIELDS | SPINOR FIELDS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SPACE-TIME | SCALARS | GRAVITATION | QUANTUM ELECTRODYNAMICS | ACTION INTEGRAL | SPINORS | ELEMENTARY PARTICLES | RENORMALIZATION

ZETA-FUNCTION | COVARIANT THEORY | gravitation | vacuum (elementary particles) | space-time configurations | HOMOGENEOUS BUNDLES | renormalisation | quantum electrodynamics | HEAT KERNEL | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | GRAVITY | MAGNETIC FIELDS | SPINOR FIELDS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SPACE-TIME | SCALARS | GRAVITATION | QUANTUM ELECTRODYNAMICS | ACTION INTEGRAL | SPINORS | ELEMENTARY PARTICLES | RENORMALIZATION

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2016, Volume 49, Issue 27, p. 275203

In this paper we analyze the spectral zeta function associated with a Laplace operator acting on scalar functions on an N-dimensional Euclidean space in the...

Spectral zeta function | Casimir energy | Functional determinant | Spherically symmetric potentials | functional determinant | VACUUM ENERGY | ZETA-FUNCTION | PHYSICS, MULTIDISCIPLINARY | spectral zeta function | CURVED SPACETIME | MODEL | FIELD NONTOPOLOGICAL SOLITONS | PHYSICS, MATHEMATICAL | spherically symmetric potentials | COUPLED HIGGS SECTOR

Spectral zeta function | Casimir energy | Functional determinant | Spherically symmetric potentials | functional determinant | VACUUM ENERGY | ZETA-FUNCTION | PHYSICS, MULTIDISCIPLINARY | spectral zeta function | CURVED SPACETIME | MODEL | FIELD NONTOPOLOGICAL SOLITONS | PHYSICS, MATHEMATICAL | spherically symmetric potentials | COUPLED HIGGS SECTOR

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 11/2011, Volume 52, Issue 11, p. 1

In this work, we exploit Jonquiere's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the...

Mathematical functions | Electric fields | Physics

Mathematical functions | Electric fields | Physics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2015, Volume 48, Issue 43, pp. 435203 - 25

The aim of this work is to analyze general infinite sums containing modified Bessel functions of the second kind. In particular we present a method for the...

Bessel functions | infinite sums | asymptotic expansion | ZETA-FUNCTION REGULARIZATION | VACUUM | TEMPERATURE | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Asymptotic expansions | Construction | Mathematical analysis | Infinite series | Quantum theory | Sums

Bessel functions | infinite sums | asymptotic expansion | ZETA-FUNCTION REGULARIZATION | VACUUM | TEMPERATURE | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Asymptotic expansions | Construction | Mathematical analysis | Infinite series | Quantum theory | Sums

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2013, Volume 317, Issue 3, pp. 635 - 665

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 04/2015, Volume 56, Issue 4, p. 43503

In this paper, we provide a detailed analysis of the analytic continuation of the spectral zeta function associated with one-dimensional regular...

EIGENVALUES | ZETA-FUNCTION | INTEGRATION | DETERMINANTS | EXPANSION | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL | OPERATORS | Operators (mathematics) | Thermal expansion | Asymptotic series | Mathematical analysis | Boundary conditions | Eigenvectors | Quantum theory

EIGENVALUES | ZETA-FUNCTION | INTEGRATION | DETERMINANTS | EXPANSION | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL | OPERATORS | Operators (mathematics) | Thermal expansion | Asymptotic series | Mathematical analysis | Boundary conditions | Eigenvectors | Quantum theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 07/2011, Volume 44, Issue 29, pp. 295403 - 23

In this paper, we compute the Casimir energy and force for massless scalar fields endowed with hybrid boundary conditions, in the setting of the bounded...

ENERGY | LAPLACE OPERATOR | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | FUNCTIONAL DETERMINANTS | Pistons | Energy use | Mathematical analysis | Scalars | Boundary conditions | Mathematical models | Spectra | Regularization | Physics - High Energy Physics - Theory

ENERGY | LAPLACE OPERATOR | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | FUNCTIONAL DETERMINANTS | Pistons | Energy use | Mathematical analysis | Scalars | Boundary conditions | Mathematical models | Spectra | Regularization | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2011, Volume 2011, Issue 3, pp. 1 - 30

In this paper we utilize ζ-function regularization techniques in order to compute the Casimir force for massless scalar fields subject to Dirichlet and Neumann...

Quantum Physics | Differential and Algebraic Geometry | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Field theories in higher dimensions | ENERGY | ZETA-FUNCTIONS | LAPLACE OPERATOR | FUNCTIONAL DETERMINANTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Quantum Physics | Differential and Algebraic Geometry | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Field theories in higher dimensions | ENERGY | ZETA-FUNCTIONS | LAPLACE OPERATOR | FUNCTIONAL DETERMINANTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2/2013, Volume 317, Issue 3, pp. 635 - 665

In this work we study the spectral zeta function associated with the Laplace operator acting on scalar functions defined on a warped product of manifolds of...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 02/2013, Volume 317, Issue 3, p. 635

In this work we study the spectral zeta function associated with the Laplace operator acting on scalar functions defined on a warped product of manifolds of...

Universities and colleges

Universities and colleges

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