The S-matrix in Schrodinger representation for curved spacetimes in general boundary quantum field theory
Por:
Colosi, Daniele, Dohse, Max
Publicada:
1 abr 2017
Resumen:
We use the General Boundary Formulation (GBF) of Quantum Field Theory to
compute the S-matrix for a general interacting scalar field in a wide
class of curved spacetimes. As a by-product we obtain the general
expression of the Feynman propagator for the scalar field, defined in
the following three types of spacetime regions. First, there are the
familiar interval regions (e.g. a time interval times all of space).
Second, we consider the rod hypercylinder regions (all of time times a
solid ball in space). Third, the tube hypercylinders (all of time times
a solid shell in space) are related to interval regions, and result from
removing a smaller rod from a concentric larger one. Using the
Schrodinger representation for the quantum states combined with
Feynman's path integral quantization, we obtain the S-matrix as the
asymptotic limit of the GBF amplitude associated with finite interval,
and rod regions. For interval regions, whose boundary consists of two
Cauchy surfaces, the asymptotic GBF-amplitude becomes the standard
S-matrix. Our work generalizes previous results (obtained in Minkowski,
Rindler, de Sitter, and Anti de Sitter spacetimes) to a wide class of
curved spacetimes. (C) 2016 Elsevier B.V. All rights reserved.
Filiaciones:
Colosi, Daniele:
Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México (UNAM), Campus Morelia, C.P. 58190, Morelia, Mexico
UNAM, Unidad Morelia, Escuela Nacl Estudios Super, Campus Morelia, Morelia 58190, Michoacan, Mexico
Dohse, Max:
Instituto de Física y Matemáticas (IFM-UMSNH), Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia, Mexico
Univ Michoacana, Inst Fis & Matemat IFM UMSNH, Edificio C-3,Ciudad Univ, Morelia 58040, Michoacan, Mexico
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