Quantum Phase Transitions and New Scales in QCD-Like Theories

Unsal, Mithat

Stanford Linear Accelerator Center

关键词: Quantum Chromodynamics;    71 Classical And Quantum Mechanics, General Physics;    Supergravity;    Simulation;    Perturbation Theory;   

DOI  :  10.2172/934748
RP-ID  :  SLAC-PUB-13285
RP-ID  :  AC02-76SF00515
RP-ID  :  934748

美国|英语

来源: UNT Digital Library

【 摘 要 】

It is commonly believed that in confining vector-like gauge theories the center and chiral symmetry realizations are parametrically entangled, and if phase transitions occur, they must take place around the strong scale {Lambda}{sup -1} of the gauge theory. We demonstrate that (non-thermal) vector-like theories formulated on R{sup 3} x S{sup 1} where S{sup 1} is a spatial circle exhibit new dynamical scales and new phenomena. There are chiral phase transitions taking place at {Lambda}{sup -1}/N{sub c} in the absence of any change in center symmetry. {Lambda}{sup -1}/N{sub c}, invisible in (planar) perturbation theory, is also the scale where abelian versus non-abelian confinement regimes meet. Large N{sub c} volume independence (a working Eguchi-Kawai reduction) provides new insights and independently confirms the existence of these scales. We show that certain phases and scales are outside the reach of holographic (supergravity) modeling of QCD.