Heat kernels and functional determinants on the generalized cone - INSPIRE

DataBETA

Heat kernels and functional determinants on the generalized cone

Feb, 1996

25 pages

Published in:

Commun.Math.Phys. 182 (1996) 371-394

e-Print:

hep-th/9602089 [hep-th]

DOI:

10.1007/BF02517895

Report number:

MUTP-96-10,
UL-NTZ-09-1996

View in:

ADS Abstract Service

reference search131 citations

Citations per year

Abstract:

We consider zeta functions and heat-kernel expansions on the bounded, generalized cone in arbitrary dimensions using an improved calculational technique. The specific case of a global monopole is analysed in detail and some restrictions thereby placed on the

A_{5/2}

coefficient. The computation of functional determinants is also addressed. General formulas are given and known results are incidentally, and rapidly, reproduced.

space-time
path integral: determinant
regularization: zeta function
regularization: heat kernel
field theory: monopole
analytic properties

References(34)

Figures(0)

- Trans.Cambridge Phil.Soc. 19 374

- Trans.Cambridge Phil.Soc. 19 426

Gravitational Field of a Global Monopole

Manuel Barriola
(
- Tufts U.
)
,
Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.Lett. 63 (1989) 341
•
DOI:
- 10.1103/PhysRevLett.63.341

One loop quantum cosmology: Zeta function technique for the Hartle-Hawking wave function of the universe

A.O. Barvinsky
(
- Alberta U. and
- Moscow, Nucl. Safety Inst.
)
,
A.Yu. Kamenshchik
(
- Alberta U. and
- Moscow, Nucl. Safety Inst.
)
,
I.P. Karmazin
(
- Alberta U. and
- Moscow, Nucl. Safety Inst.
)

- Annals Phys. 219 (1992) 201-242
•
DOI:
- 10.1016/0003-4916(92)90347-O

Heat kernel coefficients of the Laplace operator on the D-dimensional ball

Michael Bordag
(
- Leipzig U.
)
,
E. Elizalde
(
- Blanes, CAS and
- Barcelona U.
)
,
K. Kirsten
(
- Barcelona U.
)

- J.Math.Phys. 37 (1996) 895-916
•
e-Print:
- hep-th/9503023
•
DOI:
- 10.1063/1.531418

Zeta function determinant of the Laplace operator on the D-dimensional ball

Michael Bordag
(
- Leipzig U.
)
,
B. Geyer
(
- Leipzig U.
)
,
K. Kirsten
(
- Leipzig U.
)
,
E. Elizalde
(
- Blanes, CAS and
- Barcelona U.
)

- Commun.Math.Phys. 179 (1996) 215-234,
- Commun. Math. Phys. 179 (1996) 215-234, and Barcelona U. - UBECM-PF-95-10 (95/05,rec.Jun.) 24 p
•
e-Print:
- hep-th/9505157
•
DOI:
- 10.1007/BF02103720

Vacuum energy in smooth background fields

Michael Bordag
(
- Leipzig U.
)

- J.Phys.A 28 (1995) 755-766
•
DOI:
- 10.1088/0305-4470/28/3/028

The Asymptotics of the Laplacian on a manifold with boundary. 2

Thomas P. Branson
(
- Iowa U.
)
,
Peter B. Gilkey
(
- Oregon U.
)
,
Dmitri V. Vassilevich
(
- St. Petersburg State U.
)

- Boll.Union.Mat.Ital.B 11 (1997) 39-67
•
e-Print:
- hep-th/9504029

- Math.Ann. 268 173

- J.Funct.Anal. 73 369

Vacuum energy on orbifold factors of spheres

Peter Chang
(
- Manchester U.
)
,
J.S. Dowker
(
- Manchester U.
)

- Nucl.Phys.B 395 (1993) 407-432
•
e-Print:
- hep-th/9210013
•
DOI:
- 10.1016/0550-3213(93)90223-C

- J.Diff.Geom. 18 575

Gravitational Contribution to the Casimir Energy in Kaluza-Klein Theories

Alan Chodos
(
- Yale U.
)
,
Eric Myers
(
- Yale U.
)

- Annals Phys. 156 (1984) 412
•
DOI:
- 10.1016/0003-4916(84)90039-3

Functional determinants on spheres and sectors

J.S. Dowker
(
- Manchester U.
)

- J.Math.Phys. 35 (1994) 4989-4999,
- J.Math.Phys. 36 (1995) 988 (erratum)
•
e-Print:
- hep-th/9312080
•
DOI:
- 10.1063/1.530826

HEAT KERNEL EXPANSION ON A GENERALIZED CONE

J.S. Dowker
(
- Manchester U.
)

- J.Math.Phys. 30 (1989) 770
•
DOI:
- 10.1063/1.528395

Quantum Field Theory on Clifford-klein Space-times. The Effective Lagrangian and Vacuum Stress Energy Tensor

J.S. Dowker
(
- Manchester U.
)
,
Richard Banach
(
- Manchester U.
)

- J.Phys.A 11 (1978) 2255
•
DOI:
- 10.1088/0305-4470/11/11/012

Further functional determinants

J.S. Dowker
(
- Manchester U.
)
,
J.S. Apps
(
- Manchester U.
)

- Class.Quant.Grav. 12 (1995) 1363-1383
•
e-Print:
- hep-th/9502015
•
DOI:
- 10.1088/0264-9381/12/6/005

Oddball determinants

J.S. Dowker
(
- Manchester U.
)

e-Print:
- hep-th/9507096

Two-dimensional models of black hole evaporation

Emil J. Martinec
(
- Chicago U., Astron. Astrophys. Ctr.
)

- Class.Quant.Grav. 13 (1996) 1-25
•
DOI:
- 10.1088/0264-9381/13/1/003

Quantum Gravity, Quantum Cosmology and Lorentzian Geometries

Giampiero Esposito
(
- ICTP, Trieste and
- SISSA, Trieste and
- Naples U.
)

- Lect.Notes Phys.Monogr. 12 (1992) 1-326
•
DOI:
- 10.1007/978-3-662-14495-4

Euclidean Maxwell theory in the presence of boundaries. Part 2

Giampiero Esposito
(
- INFN, Naples and
- Naples U.
)
,
Alexander Yu. Kamenshchik
(
- Moscow, Nucl. Safety Inst.
)
,
Igor V. Mishakov
(
- Moscow, Nucl. Safety Inst.
)
,
Giuseppe Pollifrone
(
- INFN, Naples and
- Rome U.
)

- Class.Quant.Grav. 11 (1994) 2939-2950
•
e-Print:
- gr-qc/9506061
•
DOI:
- 10.1088/0264-9381/11/12/009

One loop amplitudes in Euclidean quantum gravity

Giampiero Esposito
(
- INFN, Naples and
- Naples U.
)
,
Alexander Yu Kamenshchik
(
- Moscow, Nucl. Safety Inst.
)
,
Igor V. Mishakov
(
- Moscow, Nucl. Safety Inst.
)
,
Giuseppe Pollifrone
(
- Rome U. and
- INFN, Rome
)

- Phys.Rev.D 52 (1995) 3457-3465
•
e-Print:
- gr-qc/9504016
•
DOI:
- 10.1103/PhysRevD.52.3457

One loop effective action on the four ball

Giampiero Esposito
(
- INFN, Naples and
- Naples U.
)
,
Alexander Yu. Kamenshchik
(
- Moscow, Nucl. Safety Inst.
)
,
Giuseppe Pollifrone
(
- Rome U. and
- INFN, Rome
)

- Class.Quant.Grav. 13 (1996) 943-956
•
e-Print:
- hep-th/9601006
•
DOI:
- 10.1088/0264-9381/13/5/013

zeta function technique for quantum cosmology: The contributions of matter fields to the Hartle-Hawking wave function of the universe

- Int.J.Mod.Phys.A 7 (1992) 3713-3746
•
DOI:
- 10.1142/S0217751X92001654

- Int.J.Mod.Phys. 11 L173

1-25 of 34
1
2
25 / page