Dynamical Properties of Large N Reduced Model of Yang-Mills Theory
نویسنده
چکیده
We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to the dynamical aspects related to the eigenvalues of the N ×N matrices, which correspond to the space-time coordinates in the IIB matrix model. We define a quantity which represents the uncertainty of the space-time coordinates and show that it is of the same order as the extent of the space time, which means that the classical space-time picture is maximally broken. The absence of the SSB of the Lorentz invariance is also shown.
منابع مشابه
Dynamical Properties of Large N Reduced Model of Yang - Mills Theory
We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to the dynamical aspects related to the eigenvalues of the N ×N matrices, which correspond to the space-time coordinates in the IIB matrix model. We define a quantity which represents the uncertainty of the space-time coordinates and show that it is of the same order as the extent of the space time, whi...
متن کاملThe QCD Membrane
In this paper we study spatially quenched, SU(N) Yang–Mills theory in the large-N limit. The resulting reduced action shows the same formal look as the Banks–Fischler–Shenker–SusskindM–theory action. The Weyl–Wigner–Moyal symbol of this matrix model is the Moyal deformation of a p(= 2 )–brane action. Thus, the large-N limit of the spatially quenched SU(N) Yang–Mills is seen to describe a dynami...
متن کاملD-brane Configurations and Nicolai Map in Supersymmetric Yang-Mills Theory
We discuss some properties of a supersymmetric matrix model that is the dimensional reduction of supersymmetric Yang-Mills theory in ten dimensions and which has been recently argued to represent the short-distance structure of M theory in the infinite momentum frame. We use T-duality to describe the relationship between D-brane coordinatizations and gauge fields. We show that this connection s...
متن کاملA Possible IIB Superstring Matrix Model with Euler Characteristic and a Double Scaling Limit
We show that a recently proposed Yang-Mills matrix model with an auxiliary field, which is a candidate for a non-perturbative description of type IIB superstrings, captures the Euler characteristic of moduli space of Riemann surfaces. This happens at the saddle point for the Yang-Mills field. It turns out that the large-n limit in this matrix model corresponds to a double scaling limit in the P...
متن کاملChern–Simons Hadronic Bag from Quenched Large-N QCD
SU(N) reduced, quenched, gauge theories have been shown to be related to string theories. We extend this result and show how a 4-dimensional, reduced, quenched, Yang–Mills theory, supplemented by the topological term, can be related through the Wigner–Weyl–Moyal correspondence to an open 3-brane model. The boundary of the 3-brane is described by a Chern–Simons 2-brane. We identify the bulk of t...
متن کامل