A Candidate For The QCD String Based On Non-Backtracking Random Walks

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages (latex, no other macros needed); 3 figures available upon request; LBL-32856, UCB-PTH-92/35

Scientific paper

10.1016/0550-3213(93)90301-5

A new string theory is proposed as a candidate for the large N limit of QCD. In this theory, strings are constrained to be non-backtracking; a condition that is essential for the gauge invariance of the underlying field theory.This condition is implemented by first placing the theory on a lattice and then introducing fermionic variables on the world sheet. The naive continuum limit leads to a generalized Thirring model on the world sheet,and it is suggested that the application of the renormalization group should drive the coupling constants to a conformally invariant fixed point.

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