Implications of Analyticity to the Solution of Schwinger-Dyson Equations in Minkowski Space

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F06%3A00042245" target="_blank" >RIV/61389005:_____/06:00042245 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Implications of Analyticity to the Solution of Schwinger-Dyson Equations in Minkowski Space

Original language description

We review some recent developments in nonperturbative studies of quantum field theory (QFT) using the Schwinger-Dyson equations formulated directly in Minkowski space. We begin with the introduction of essential ideas of the integral representation in QFT and a discussion of renormalization in this approach. The technique based on the integral representation of Green's functions is exploited to solve Schwinger-Dyson equations in several quantum field models, eg. in scalar models and in strong coupling $QED_{3+1}$ in the quenched and in the unquenched approximation. The phenomenon of dynamical chiral symmetry breaking in regularized theory is touched. In QCD, the analyticity of gluon propagator on the complex momentum square plane is exploited to continue some recent lattice data to timelike momentum axis. We find non-positive absorptive part contribution in the Landau gauge gluon propagator which is in agreement with some other new recent analyzes.

Czech name

Důsledky analytičnosti pro řešení Schwinger-Dysonových rovnic v Minkowském prostoru

Czech description

V práci jsou zpřehledněny některé nové poznatky neporuchového řešení Schwinger-Dysonových rovnic v Minkowském prostoru. Technika řešení založená na spektrálních vlastnostech propagátoru je vysvětlena na příkladech jedoduchých skalárních teoriích, dále silné vazebné kvantové elektrodynamiky, Yukawovské teorie. Uplatnění v QCD je zmíněno.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2006

Confidentiality

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

Name of the periodical

Few-Body Systems

ISSN

0177-7963

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

1/2

Country of publishing house

AT - AUSTRIA

Number of pages

55

Pages from-to

45-99

UT code for WoS article

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EID of the result in the Scopus database

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