Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 2176
Articles: 1'898'627
Articles rated: 2570

17 September 2019
 
  » arxiv » hep-th/9801054

  Article overview


Exact solution for a quantum field with $delta$-like interaction
Sergey N. Solodukhin ;
Date 9 Dec 1997
Journal Nucl.Phys. B541 (1999) 461-482
Subject High Energy Physics - Theory; Exactly Solvable and Integrable Systems | hep-th gr-qc nlin.SI solv-int
AbstractA quantum field described by the field operator $Delta_{a}=Delta+ adelta_Sigma$ involving a $delta$-like potential is considered. Mathematically, the treatment of the $delta$-potential is based on the theory of self-adjoint extension of the unperturbed operator $Delta$. We give the general expressions for the resolvent and the heat kernel of the perturbed operator $Delta_{a}$. The main attention is payed to $d=2$ $delta$-potential though $d=1$ and $d=3$ cases are considered in some detail. We calculate exactly the heat kernel, Green’s functions and the effective action for the operator $Delta_{a}$ in diverse dimensions and for various spaces $Sigma$. The renormalization phenomenon for the coupling constant $a$ of $d=2$ and $d=3$ $delta$-potentials is observed. We find the non-perturbative behavior of the effective action with respect to the renormalized coupling $a_{ren}$.
Source arXiv, hep-th/9801054
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser CCBot/2.0 (https://commoncrawl.org/faq/)






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2019 - Scimetrica