Linear Sigma model in the Gaussian functional approximation
Abstract
We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) approximation to the linear sigma model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or gap and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities. among them the Nambu-Goldstone theorem and the (partial) axial current conservation (CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions properties and the. particle content of the theory
Source:
Progress of Theoretical Physics, 2001, 106, 6, 1195-1212
DOI: 10.1143/PTP.106.1195
ISSN: 0033-068X
WoS: 000173081000008
Scopus: 2-s2.0-0035528422
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VinčaTY - JOUR AU - Nakamura, I AU - Dmitrasinovic, V PY - 2001 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2489 AB - We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) approximation to the linear sigma model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or gap and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities. among them the Nambu-Goldstone theorem and the (partial) axial current conservation (CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions properties and the. particle content of the theory T2 - Progress of Theoretical Physics T1 - Linear Sigma model in the Gaussian functional approximation VL - 106 IS - 6 SP - 1195 EP - 1212 DO - 10.1143/PTP.106.1195 ER -
@article{ author = "Nakamura, I and Dmitrasinovic, V", year = "2001", abstract = "We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) approximation to the linear sigma model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or gap and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities. among them the Nambu-Goldstone theorem and the (partial) axial current conservation (CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions properties and the. particle content of the theory", journal = "Progress of Theoretical Physics", title = "Linear Sigma model in the Gaussian functional approximation", volume = "106", number = "6", pages = "1195-1212", doi = "10.1143/PTP.106.1195" }
Nakamura, I.,& Dmitrasinovic, V.. (2001). Linear Sigma model in the Gaussian functional approximation. in Progress of Theoretical Physics, 106(6), 1195-1212. https://doi.org/10.1143/PTP.106.1195
Nakamura I, Dmitrasinovic V. Linear Sigma model in the Gaussian functional approximation. in Progress of Theoretical Physics. 2001;106(6):1195-1212. doi:10.1143/PTP.106.1195 .
Nakamura, I, Dmitrasinovic, V, "Linear Sigma model in the Gaussian functional approximation" in Progress of Theoretical Physics, 106, no. 6 (2001):1195-1212, https://doi.org/10.1143/PTP.106.1195 . .