Hidden Symmetries of LargeNQCD | Zendy

Alexander Migdal | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Hidden Symmetries of LargeNQCD

Author(s) -

Alexander Migdal

Publication year - 1998

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.131.269

Subject(s) - physics , quantum chromodynamics , supersymmetry , mathematical physics , gauge theory , correlation function (quantum field theory) , superspace , symmetry (geometry) , operator (biology) , quantum mechanics , mathematics , geometry , repressor , transcription factor , dielectric , gene , biochemistry , chemistry

The local SUSY symmetry of the loop dynamics of QCD is found. The remarkablething is, there is no einbein-gravitino on this theory, which makes it a 1Dtopological supergravity, or locally SUSY quantum mechanics. Using thissymmetry, we derive the large $N_c$ loop equation in momentum superloop space.Introducing as before the position operator $\X{\mu}$ we argue that thesuperloop equation is equivalent to invariance of correlation functions ofproducts of these operators with respect to certain quadrilineartransformation. The applications to meson and glueball sectors as well as thechiral symmetry breaking are discussed. The 1D field theory with Quarkpropagating around the loop in superspace is constructed.Comment: 40 pages, 1 Postscript figure, LaTe

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research