Generalized vacuum solutions for interacting twisted scalar fields on the torus

Details Generalized vacuum solutions for interacting twisted scalar fields on the torus Generalized vacuum solutions for interacting twisted scalar fields on the torus

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.4015h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 6, 15 September 1994, pp.4015-4021

Physics

2

Quantum Field Theory In Curved Spacetime, Theory Of Quantized Fields

Scientific paper

Classical solutions are found for twisted and untwisted scalar fields in spacetimes which are spatially compact with the topology of the torus. Previous work which considered a quartic Higgs-type interaction is generalized by considering an additional φ6 interaction. The spatial translational invariance of the twisted ground state is broken once the size of the torus increases beyond a certain critical value. Unexpectedly there exists a bifurcation of the solutions when the coefficient of the φ6 term exceeds a critical value.

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