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Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances

Kampf, Karol LU ; Novotny, Jiri and Trnka, Jaroslav (2010) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 81(11).
Abstract
We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral formulation with the stress on the issue of propagating degrees of freedom. Then we calculate the one-loop 1(--) meson self-energy within the resonance chiral theory in the chiral limit using different methods for the description of spin-1 particles, namely, the Proca field, antisymmetric tensor field, and the first-order formalisms. We discuss in detail technical aspects of the renormalization procedure which are inherent to the power-counting nonrenormalizable theory and give a formal prescription for the... (More)
We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral formulation with the stress on the issue of propagating degrees of freedom. Then we calculate the one-loop 1(--) meson self-energy within the resonance chiral theory in the chiral limit using different methods for the description of spin-1 particles, namely, the Proca field, antisymmetric tensor field, and the first-order formalisms. We discuss in detail technical aspects of the renormalization procedure which are inherent to the power-counting nonrenormalizable theory and give a formal prescription for the organization of both the counterterms and one-particle irreducible graphs. We also construct the corresponding propagators and investigate their properties. We show that the additional poles corresponding to the additional one-particle states are generated by loop corrections, some of which are negative norm ghosts or tachyons. We count the number of such additional poles and briefly discuss their physical meaning. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
81
issue
11
publisher
American Physical Society
external identifiers
  • wos:000279160400001
  • scopus:77954399569
ISSN
1550-2368
DOI
10.1103/PhysRevD.81.116004
language
English
LU publication?
yes
id
3ab6d35c-181e-459c-be6a-db349faedb52 (old id 1629936)
date added to LUP
2010-07-22 09:45:37
date last changed
2018-06-17 03:12:18
@article{3ab6d35c-181e-459c-be6a-db349faedb52,
  abstract     = {We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral formulation with the stress on the issue of propagating degrees of freedom. Then we calculate the one-loop 1(--) meson self-energy within the resonance chiral theory in the chiral limit using different methods for the description of spin-1 particles, namely, the Proca field, antisymmetric tensor field, and the first-order formalisms. We discuss in detail technical aspects of the renormalization procedure which are inherent to the power-counting nonrenormalizable theory and give a formal prescription for the organization of both the counterterms and one-particle irreducible graphs. We also construct the corresponding propagators and investigate their properties. We show that the additional poles corresponding to the additional one-particle states are generated by loop corrections, some of which are negative norm ghosts or tachyons. We count the number of such additional poles and briefly discuss their physical meaning.},
  author       = {Kampf, Karol and Novotny, Jiri and Trnka, Jaroslav},
  issn         = {1550-2368},
  language     = {eng},
  number       = {11},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances},
  url          = {http://dx.doi.org/10.1103/PhysRevD.81.116004},
  volume       = {81},
  year         = {2010},
}