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Quantization of the reduced phase space of two-dimensional dilaton gravity

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Quantization of the reduced phase space of two-dimensional dilaton gravity. / Seiler, W. M.; Tucker, Robin.
In: Physical Review D, Vol. 53, No. 8, 15.04.1996, p. 4366-4374.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Seiler, WM & Tucker, R 1996, 'Quantization of the reduced phase space of two-dimensional dilaton gravity', Physical Review D, vol. 53, no. 8, pp. 4366-4374. https://doi.org/10.1103/PhysRevD.53.4366

APA

Seiler, W. M., & Tucker, R. (1996). Quantization of the reduced phase space of two-dimensional dilaton gravity. Physical Review D, 53(8), 4366-4374. https://doi.org/10.1103/PhysRevD.53.4366

Vancouver

Seiler WM, Tucker R. Quantization of the reduced phase space of two-dimensional dilaton gravity. Physical Review D. 1996 Apr 15;53(8):4366-4374. doi: 10.1103/PhysRevD.53.4366

Author

Seiler, W. M. ; Tucker, Robin. / Quantization of the reduced phase space of two-dimensional dilaton gravity. In: Physical Review D. 1996 ; Vol. 53, No. 8. pp. 4366-4374.

Bibtex

@article{4d593683627d4728814d1ee4a929cd0f,
title = "Quantization of the reduced phase space of two-dimensional dilaton gravity",
abstract = "We study some two-dimensional dilaton gravity models using the formal theory of partial differential equations. This allows us to prove that the reduced phase space is two dimensional without an explicit construction. By using a convenient (static) gauge we reduce the theory to coupled ordinary differential equations and we are able to derive for some potentials of interest closed-form solutions. We use an effective (particle) Lagrangian for the reduced field equations in order to quantize the system in a finite-dimensional setting leading to an exact partial differential Wheeler-DeWitt equation instead of a functional one. A WKB approximation for some quantum states is computed and compared with the classical Hamilton-Jacobi theory. The effect of minimally coupled matter is examined.",
author = "Seiler, {W. M.} and Robin Tucker",
year = "1996",
month = apr,
day = "15",
doi = "10.1103/PhysRevD.53.4366",
language = "English",
volume = "53",
pages = "4366--4374",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Quantization of the reduced phase space of two-dimensional dilaton gravity

AU - Seiler, W. M.

AU - Tucker, Robin

PY - 1996/4/15

Y1 - 1996/4/15

N2 - We study some two-dimensional dilaton gravity models using the formal theory of partial differential equations. This allows us to prove that the reduced phase space is two dimensional without an explicit construction. By using a convenient (static) gauge we reduce the theory to coupled ordinary differential equations and we are able to derive for some potentials of interest closed-form solutions. We use an effective (particle) Lagrangian for the reduced field equations in order to quantize the system in a finite-dimensional setting leading to an exact partial differential Wheeler-DeWitt equation instead of a functional one. A WKB approximation for some quantum states is computed and compared with the classical Hamilton-Jacobi theory. The effect of minimally coupled matter is examined.

AB - We study some two-dimensional dilaton gravity models using the formal theory of partial differential equations. This allows us to prove that the reduced phase space is two dimensional without an explicit construction. By using a convenient (static) gauge we reduce the theory to coupled ordinary differential equations and we are able to derive for some potentials of interest closed-form solutions. We use an effective (particle) Lagrangian for the reduced field equations in order to quantize the system in a finite-dimensional setting leading to an exact partial differential Wheeler-DeWitt equation instead of a functional one. A WKB approximation for some quantum states is computed and compared with the classical Hamilton-Jacobi theory. The effect of minimally coupled matter is examined.

U2 - 10.1103/PhysRevD.53.4366

DO - 10.1103/PhysRevD.53.4366

M3 - Journal article

VL - 53

SP - 4366

EP - 4374

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 8

ER -