Generalized generating functional for mixed-representation Green's functions: A quantum-mechanical approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00318226" target="_blank" >RIV/68407700:21340/17:00318226 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevA.96.052107" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.96.052107</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.96.052107" target="_blank" >10.1103/PhysRevA.96.052107</a>

Result language

angličtina

Original language name

Generalized generating functional for mixed-representation Green's functions: A quantum-mechanical approach

Original language description

When one tries to take into account the nontrivial vacuum structure of quantum field theory, the standard functional-integral tools, such as generating functionals or transitional amplitudes, are often quite inadequate for such purposes. Here we propose a generalized generating functional for Green's functions which allows one to easily distinguish among a continuous set of vacua that are mutually connected via unitary canonical transformations. In order to keep our discussion as simple as possible, we limit ourselves to quantum mechanics where the generating functional of Green's functions is constructed by means of phase-space path integrals. The quantum-mechanical setting allows us to accentuate the main logical steps involved without embarking on technical complications such as renormalization or inequivalent representations that should otherwise be addressed in the full-fledged quantum field theory. We illustrate the inner workings of the generating functional obtained by discussing Green's functions among vacua that are mutually connected via translations and dilatations. Salient issues, including connection with quantum field theory, vacuum-to-vacuum transition amplitudes, and perturbation expansion in the vacuum parameter, are also briefly discussed.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GF17-33812L" target="_blank" >GF17-33812L: An information-theoretical perspective on complex systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

2469-9934

Volume of the periodical

96

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

—

UT code for WoS article

000414667000002

EID of the result in the Scopus database

2-s2.0-85033669699