Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1629936
- author
- Kampf, Karol LU ; Novotny, Jiri and Trnka, Jaroslav
- organization
- publishing date
- 2010
- 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
- 2016-04-01 10:10:53
- date last changed
- 2023-01-02 01:57:09
@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}},
doi = {{10.1103/PhysRevD.81.116004}},
volume = {{81}},
year = {{2010}},
}