English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We derive the renormalized Schwinger-Dyson equations for the one- andtwo-point functions in the auxiliary field formulation of $\lambda \phi^4$field theory to order 1/N in the 2PI-1/N expansion. We show that therenormalization of the broken-symmetry theory depends only on the counter termsof the symmetric theory with $\phi = 0$. We find that the 2PI-1/N expansionviolates the Goldstone theorem at order 1/N. In using the O(4) model as a lowenergy effective field theory of pions to study the time evolution ofdisoriented chiral condensates one has to {\em{explicitly}} break the O(4)symmetry to give the physical pions a nonzero mass. In this effective theorythe {\em additional} small contribution to the pion mass due to the violationof the Goldstone theorem in the 2-PI-1/N equations should be numericallyunimportant

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Renormalized broken-symmetry Schwinger-Dyson equations and the two-particle irreducible<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:math>expansion for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>model

Renormalized broken-symmetry Schwinger-Dyson equations and the two-particle irreducible1/Nexpansion for theO(N)model