All Outputs (3)

Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations (2007)
Journal Article
Akant, L., & Krishnaswami, G. (2007). Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations. Journal of High Energy Physics, 2007(02), https://doi.org/10.1088/1126-6708/2007/02/073

This work concerns single-trace correlations of Euclidean multi-matrix models. In the large-N limit we show that Schwinger-Dyson equations (SDE) imply loop equations (LE) and non-anomalous Ward identities (WI). LE are associated to generic infinitesi... Read More about Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations.

Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization (2006)
Journal Article
Krishnaswami, G. (2006). Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization. Journal of High Energy Physics, 2006(08), https://doi.org/10.1088/1126-6708/2006/08/035

Large-N multi-matrix loop equations are formulated as quadratic difference equations in concatenation of gluon correlations. Though non-linear, they involve highest rank correlations linearly. They are underdetermined in many cases. Additional linear... Read More about Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization.

2+1 abelian `gauge theory' inspired by ideal hydrodynamics (2006)
Journal Article
Krishnaswami, G. (2006). 2+1 abelian `gauge theory' inspired by ideal hydrodynamics. International Journal of Modern Physics A, 21(18), 3771-3808. https://doi.org/10.1142/s0217751x06030977

We study a possibly integrable model of Abelian gauge fields on a two-dimensional surface M, with volume form mu. It has the same phase-space as ideal hydrodynamics, a coadjoint orbit of the volume-preserving diffeomorphism group of M. Gauge field Po... Read More about 2+1 abelian `gauge theory' inspired by ideal hydrodynamics.