2D Principal Chiral Field at Large N as a Possible Solvable 2D String Theory

Details 2D Principal Chiral Field at Large N as a Possible Solvable 2D String Theory 2D Principal Chiral Field at Large N as a Possible Solvable 2D String Theory

1995-02-27

arxiv.org/abs/hep-th/9503008v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Seminar presented at the 1994 Les Houches Summer School ``Fluctuating Geometries in Statistical Mechanics and Field

Scientific paper

We present the exact and explicit solution of the principal chiral field in two dimensions for an infinitely large rank group manifold. The energy of the ground state is explicitly found for the external Noether's fields of an arbitrary magnitude. At small field we found an inverse logarithmic singularity in the ground state energy at the mass gap which indicates that at $N=\infty$ the spectrum of the theory contains extended objects rather than pointlike particles.

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