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Gribov horizon and i-particles: about a toy model and the construction of physical operators

L Baulieu, David Dudal UGent, MS Guimaraes, MQ Huber, SP Sorella, Nele Vandersickel UGent and D Zwanziger (2010) PHYSICAL REVIEW D. 82(2).
abstract
Restricting the functional integral to the Gribov region Omega leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, k(2) / k(4) + (gamma) over cap (4), can be viewed as a propagating pair of unphysical modes, called here i-particles, with complex masses +/- i (gamma) over cap (2). From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of i-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
NONPERTURBATIVE SOLUTION, LANDAU GAUGE, SELF-CONSISTENCY, CRITICAL LIMIT, QCD, INTEGRALS, LATTICE GAUGE-THEORY, EXTENDED ITERATIVE SCHEME, EUCLIDEAN GREENS FUNCTIONS, DYSON-SCHWINGER-EQUATIONS
journal title
PHYSICAL REVIEW D
Phys. Rev. D
volume
82
issue
2
article number
025021
pages
29 pages
Web of Science type
Article
Web of Science id
000280475800008
JCR category
ASTRONOMY & ASTROPHYSICS
JCR impact factor
4.964 (2010)
JCR rank
7/54 (2010)
JCR quartile
1 (2010)
ISSN
1550-7998
DOI
10.1103/PhysRevD.82.025021
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1579066
handle
http://hdl.handle.net/1854/LU-1579066
date created
2011-06-27 10:22:40
date last changed
2016-12-21 15:42:17
@article{1579066,
  abstract     = {Restricting the functional integral to the Gribov region Omega leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, k(2) / k(4) + (gamma) over cap (4), can be viewed as a propagating pair of unphysical modes, called here i-particles, with complex masses +/- i (gamma) over cap (2). From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of i-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory.},
  articleno    = {025021},
  author       = {Baulieu, L and Dudal, David and Guimaraes, MS and Huber, MQ and Sorella, SP and Vandersickel, Nele and Zwanziger, D},
  issn         = {1550-7998},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {NONPERTURBATIVE SOLUTION,LANDAU GAUGE,SELF-CONSISTENCY,CRITICAL LIMIT,QCD,INTEGRALS,LATTICE GAUGE-THEORY,EXTENDED ITERATIVE SCHEME,EUCLIDEAN GREENS FUNCTIONS,DYSON-SCHWINGER-EQUATIONS},
  language     = {eng},
  number       = {2},
  pages        = {29},
  title        = {Gribov horizon and i-particles: about a toy model and the construction of physical operators},
  url          = {http://dx.doi.org/10.1103/PhysRevD.82.025021},
  volume       = {82},
  year         = {2010},
}

Chicago
Baulieu, L, David Dudal, MS Guimaraes, MQ Huber, SP Sorella, Nele Vandersickel, and D Zwanziger. 2010. “Gribov Horizon and I-particles: About a Toy Model and the Construction of Physical Operators.” Physical Review D 82 (2).
APA
Baulieu, L., Dudal, D., Guimaraes, M., Huber, M., Sorella, S., Vandersickel, N., & Zwanziger, D. (2010). Gribov horizon and i-particles: about a toy model and the construction of physical operators. PHYSICAL REVIEW D, 82(2).
Vancouver
1.
Baulieu L, Dudal D, Guimaraes M, Huber M, Sorella S, Vandersickel N, et al. Gribov horizon and i-particles: about a toy model and the construction of physical operators. PHYSICAL REVIEW D. 2010;82(2).
MLA
Baulieu, L, David Dudal, MS Guimaraes, et al. “Gribov Horizon and I-particles: About a Toy Model and the Construction of Physical Operators.” PHYSICAL REVIEW D 82.2 (2010): n. pag. Print.