Nuclear Physics, Section B, ISSN 0550-3213, 12/2013, Volume 877, Issue 3, pp. 956 - 1027

We emphasize the close relationship between zeta function methods and arbitrary spectral cutoff regularizations in curved spacetime. This yields, on the one...

Higher loops in curved spacetime | Conformal anomaly | Spectral cutoff regularization | Zeta function regularization | Quantum field theory in curved spacetime | TENSOR | OPERATOR REGULARIZATION | FIELD-THEORIES | SCALAR | RENORMALIZATION | GEOMETRY | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Mathematical Physics | High Energy Physics - Theory

Higher loops in curved spacetime | Conformal anomaly | Spectral cutoff regularization | Zeta function regularization | Quantum field theory in curved spacetime | TENSOR | OPERATOR REGULARIZATION | FIELD-THEORIES | SCALAR | RENORMALIZATION | GEOMETRY | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Mathematical Physics | High Energy Physics - Theory

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 06/2012, Volume 27, Issue 15, p. 1260005

A summary of relevant contributions, ordered in time, to the subject of operator zeta functions and their application to physical issues is provided. The...

regularized determinant | Casimir effect | zeta regularization | operator regularization | Zeta functions | ENERGY | NONCOMMUTATIVE RESIDUE | CHOWLA-SELBERG FORMULA | QUANTUM-FIELD | PHYSICS, NUCLEAR | EXTENSION | GAUGE-THEORIES | GREEN-FUNCTIONS | SPACE-TIMES | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS

regularized determinant | Casimir effect | zeta regularization | operator regularization | Zeta functions | ENERGY | NONCOMMUTATIVE RESIDUE | CHOWLA-SELBERG FORMULA | QUANTUM-FIELD | PHYSICS, NUCLEAR | EXTENSION | GAUGE-THEORIES | GREEN-FUNCTIONS | SPACE-TIMES | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS

Journal Article

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, ISSN 0378-4371, 11/2019, Volume 534

Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an...

ZETA-FUNCTION REGULARIZATION | Specific heat | Mean energy | Partition function | PHYSICS, MULTIDISCIPLINARY | CASIMIR ENERGY | Hydrogen atom paradox

ZETA-FUNCTION REGULARIZATION | Specific heat | Mean energy | Partition function | PHYSICS, MULTIDISCIPLINARY | CASIMIR ENERGY | Hydrogen atom paradox

Journal Article

PHYSICS LETTERS B, ISSN 0370-2693, 01/2006, Volume 632, Issue 2-3, pp. 422 - 426

We present an exact evaluation of the generalized zeta-function for a real scalar field in a delta-function potential in the spacetime S-1 x RD-1. The result...

TOPOLOGY | zero-point energy | PHYSICS, NUCLEAR | INTERACTING SCALAR FIELD | QUANTUM-FIELD-THEORY | HEAT KERNEL-EXPANSION | heat-Kernel coefficients | VACUUM ENERGY | BRANE-WORLD | SPACE-TIME | ASTRONOMY & ASTROPHYSICS | renormalization | CASIMIR ENERGIES | Casimir effect | POLARIZATION | zeta-function | PHYSICS, PARTICLES & FIELDS

TOPOLOGY | zero-point energy | PHYSICS, NUCLEAR | INTERACTING SCALAR FIELD | QUANTUM-FIELD-THEORY | HEAT KERNEL-EXPANSION | heat-Kernel coefficients | VACUUM ENERGY | BRANE-WORLD | SPACE-TIME | ASTRONOMY & ASTROPHYSICS | renormalization | CASIMIR ENERGIES | Casimir effect | POLARIZATION | zeta-function | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Reports, ISSN 0370-1573, 2003, Volume 388, Issue 5, pp. 279 - 360

The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action. The aim of...

Heat kernel | Boundary conditions | Functional determinants | Effective action | Anomalies | ZETA-FUNCTION REGULARIZATION | EUCLIDEAN MAXWELL THEORY | PHYSICS, MULTIDISCIPLINARY | ANTISYMMETRIC TENSOR FIELD | KALUZA-KLEIN THEORIES | anomalies | DILATON-COUPLED SCALARS | FINITE-MODE REGULARIZATION | LOOP QUANTUM COSMOLOGY | heat kernel | functional determinants | effective action | boundary conditions | MIXED BOUNDARY-CONDITIONS | COVARIANT PERTURBATION-THEORY | CONFORMAL-FACTOR PROBLEM

Heat kernel | Boundary conditions | Functional determinants | Effective action | Anomalies | ZETA-FUNCTION REGULARIZATION | EUCLIDEAN MAXWELL THEORY | PHYSICS, MULTIDISCIPLINARY | ANTISYMMETRIC TENSOR FIELD | KALUZA-KLEIN THEORIES | anomalies | DILATON-COUPLED SCALARS | FINITE-MODE REGULARIZATION | LOOP QUANTUM COSMOLOGY | heat kernel | functional determinants | effective action | boundary conditions | MIXED BOUNDARY-CONDITIONS | COVARIANT PERTURBATION-THEORY | CONFORMAL-FACTOR PROBLEM

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 45, p. 455401

We present a detailed analytic study on the three-dimensional sphere of the most popular candidates for C-functions, both for Dirac and scalar free massive...

zeta-function regularization | C-functions | effective actions | RÃ©nyi entropy | PHYSICS, MULTIDISCIPLINARY | THEOREM | PHYSICS, MATHEMATICAL | Renyi entropy

zeta-function regularization | C-functions | effective actions | RÃ©nyi entropy | PHYSICS, MULTIDISCIPLINARY | THEOREM | PHYSICS, MATHEMATICAL | Renyi entropy

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 01/2017, Issue 1

We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields....

ZETA-FUNCTION REGULARIZATION | FIELDS | DESITTER SPACETIME | Higher Spin Gravity | AdS-CFT Correspondence | EFFECTIVE POTENTIALS | EQUATIONS | ANTI | Higher Spin Symmetry | PHYSICS, PARTICLES & FIELDS

ZETA-FUNCTION REGULARIZATION | FIELDS | DESITTER SPACETIME | Higher Spin Gravity | AdS-CFT Correspondence | EFFECTIVE POTENTIALS | EQUATIONS | ANTI | Higher Spin Symmetry | PHYSICS, PARTICLES & FIELDS

Journal Article

PHYSICAL REVIEW D, ISSN 1550-7998, 04/2014, Volume 89, Issue 8

Following S. Giombi and I. R. Klebanov, [J. High Energy Phys. 12 (2013) 068], we carry out one-loop tests of higher spin AdS(d+1)/CFTd correspondences for d >=...

ZETA-FUNCTION REGULARIZATION | FIELDS | MATTER | DESITTER SPACETIME | SUPERGRAVITY | ASTRONOMY & ASTROPHYSICS | EFFECTIVE POTENTIALS | EQUATIONS | ANTI | PHYSICS, PARTICLES & FIELDS

ZETA-FUNCTION REGULARIZATION | FIELDS | MATTER | DESITTER SPACETIME | SUPERGRAVITY | ASTRONOMY & ASTROPHYSICS | EFFECTIVE POTENTIALS | EQUATIONS | ANTI | PHYSICS, PARTICLES & FIELDS

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 11/2014, Volume 29, Issue 35, p. 1450181

Zeta function regularization is an effective method to extract physical significant quantities from infinite ones. It is regarded as mathematically simple and...

Zeta function regularization | Abel-Plana formula | Casimir effect | VACUUM | REPULSIVE NATURE | MOMENTUM TENSOR | FIELD | PROOF | PHYSICS, NUCLEAR | ANALYTIC REGULARIZATION | PHYSICS, MATHEMATICAL | FORCE | zeta function regularization | ASTRONOMY & ASTROPHYSICS | ZERO-POINT ENERGY | PHYSICS, PARTICLES & FIELDS

Zeta function regularization | Abel-Plana formula | Casimir effect | VACUUM | REPULSIVE NATURE | MOMENTUM TENSOR | FIELD | PROOF | PHYSICS, NUCLEAR | ANALYTIC REGULARIZATION | PHYSICS, MATHEMATICAL | FORCE | zeta function regularization | ASTRONOMY & ASTROPHYSICS | ZERO-POINT ENERGY | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 05/2012, Volume 85, Issue 10

We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of N = 4...

ZETA-FUNCTION REGULARIZATION | EFFECTIVE POTENTIALS | ANTI | PROPAGATORS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

ZETA-FUNCTION REGULARIZATION | EFFECTIVE POTENTIALS | ANTI | PROPAGATORS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 11/2016, Issue 11

We study the higher-spin gauge theory in six-dimensional anti-de Sitter space AdS(6) that is based on the exceptional Lie superalgebra F(4). The relevant...

ZETA-FUNCTION REGULARIZATION | DE-SITTER SPACE | ANTI-DESITTER SPACETIME | CONFORMAL SUPERGRAVITY | AdS-CFT Correspondence | MASSLESS HIGHER SPINS | EFFECTIVE POTENTIALS | REAL HYPERBOLIC SPACES | CUBIC INTERACTION VERTICES | UNITARY SUPERMULTIPLETS | 11-DIMENSIONAL SUPERGRAVITY | Higher Spin Gravity | Field Theories in Higher Dimensions | Higher Spin Symmetry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

ZETA-FUNCTION REGULARIZATION | DE-SITTER SPACE | ANTI-DESITTER SPACETIME | CONFORMAL SUPERGRAVITY | AdS-CFT Correspondence | MASSLESS HIGHER SPINS | EFFECTIVE POTENTIALS | REAL HYPERBOLIC SPACES | CUBIC INTERACTION VERTICES | UNITARY SUPERMULTIPLETS | 11-DIMENSIONAL SUPERGRAVITY | Higher Spin Gravity | Field Theories in Higher Dimensions | Higher Spin Symmetry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 30, p. 305202

Stationary solution of a one-dimensional sine-Gordon system is embedded in a multidimensional theory with an explicitly finite domain in the added spatial...

mathematical physics | zeta function regularization | semiclassical quantization | Solitons | PHASE-INTEGRAL APPROXIMATION | MOMENTUM-SPACE | BOUND-STATES | PHYSICS, MULTIDISCIPLINARY | WAVE MECHANICS | QUANTIZATION | PHYSICS, MATHEMATICAL | solitons | ATOM

mathematical physics | zeta function regularization | semiclassical quantization | Solitons | PHASE-INTEGRAL APPROXIMATION | MOMENTUM-SPACE | BOUND-STATES | PHYSICS, MULTIDISCIPLINARY | WAVE MECHANICS | QUANTIZATION | PHYSICS, MATHEMATICAL | solitons | ATOM

Journal Article

13.
Full Text
Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional spaceâ€“time

International Journal of Modern Physics A, ISSN 0217-751X, 12/2014, Volume 29, Issue 30, p. 1430068

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some unclear points. Recently, there are new developments...

Abel-Plana formula | Casimir effect | finite temperature | rectangular piston | zeta-function regularization | REPULSIVE NATURE | MOMENTUM TENSOR | PHYSICS, NUCLEAR | ANALYTIC REGULARIZATION | SCALAR FIELD | FORCE | BOUNDARY | ZERO-POINT ENERGY | FINITE-TEMPERATURE | RECTANGULAR CAVITIES | PHYSICS, PARTICLES & FIELDS

Abel-Plana formula | Casimir effect | finite temperature | rectangular piston | zeta-function regularization | REPULSIVE NATURE | MOMENTUM TENSOR | PHYSICS, NUCLEAR | ANALYTIC REGULARIZATION | SCALAR FIELD | FORCE | BOUNDARY | ZERO-POINT ENERGY | FINITE-TEMPERATURE | RECTANGULAR CAVITIES | PHYSICS, PARTICLES & FIELDS

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

Physics Reports, ISSN 0370-1573, 2001, Volume 353, Issue 1, pp. 1 - 205

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the...

Vacuum | Atomic force microscope | Zero-point oscillations | Roughness | Nonzero temperature | Renormalization | Finite conductivity | Long-range interactions | Precision measurements | 14.80.-j | 72.15.-v | 12.20.-m | 11.10.Wx | 68.35.Ct | 12.20.Fv | ZETA-FUNCTION REGULARIZATION | MU-M RANGE | PHYSICS, MULTIDISCIPLINARY | KALUZA-KLEIN THEORIES | IMPROVED PRECISION-MEASUREMENT | finite conductivity | zero-point oscillations | MASSIVE SCALAR FIELD | vacuum | precision measurements | roughness | renormalization | nonzero temperature | atomic force microscope | CONDUCTING SPHERICAL-SHELL | GROUND-STATE ENERGY | ZERO-POINT ENERGY | long-range interactions | VAN-DER-WAALS | MULTIPLE COSMIC STRINGS | Physics - Quantum Physics

Vacuum | Atomic force microscope | Zero-point oscillations | Roughness | Nonzero temperature | Renormalization | Finite conductivity | Long-range interactions | Precision measurements | 14.80.-j | 72.15.-v | 12.20.-m | 11.10.Wx | 68.35.Ct | 12.20.Fv | ZETA-FUNCTION REGULARIZATION | MU-M RANGE | PHYSICS, MULTIDISCIPLINARY | KALUZA-KLEIN THEORIES | IMPROVED PRECISION-MEASUREMENT | finite conductivity | zero-point oscillations | MASSIVE SCALAR FIELD | vacuum | precision measurements | roughness | renormalization | nonzero temperature | atomic force microscope | CONDUCTING SPHERICAL-SHELL | GROUND-STATE ENERGY | ZERO-POINT ENERGY | long-range interactions | VAN-DER-WAALS | MULTIPLE COSMIC STRINGS | Physics - Quantum Physics

Journal Article

Reviews in Mathematical Physics, ISSN 0129-055X, 02/2019, Volume 31, Issue 1, p. 1950002

This article explores a number of issues associated with the problem of calculating and detecting electromagnetic quantum induced energy and stress in a...

Research Article | ENZ metamaterial | inhomogeneous dielectric | regularization | Casimir | ZETA-FUNCTION REGULARIZATION | ABRAHAM | ELECTRODYNAMICS | ROTATING MEDIA | PHYSICS, MATHEMATICAL

Research Article | ENZ metamaterial | inhomogeneous dielectric | regularization | Casimir | ZETA-FUNCTION REGULARIZATION | ABRAHAM | ELECTRODYNAMICS | ROTATING MEDIA | PHYSICS, MATHEMATICAL

Journal Article