Restoration of spontaneously broken continuous symmetries in de Sitter spacetime

Details Restoration of spontaneously broken continuous symmetries in de Sitter spacetime Restoration of spontaneously broken continuous symmetries in de Sitter spacetime

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1931r&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 8, 15 April 1985, pp.1931-1955

Physics

85

Lagrangian And Hamiltonian Approach, Theory Of Quantized Fields

Scientific paper

We formulate a functional approach to scalar quantum field theory in (n+1)-dimensional de Sitter spacetime and solve the functional Schrödinger equation for the conformally and minimally coupled scalar fields in both the k=0 and k=1 gauges. We show that there is a natural initial condition, the requirement that the field energy remain finite as the scale factor a becomes small, which specifies a unique, time-dependent, de Sitter vacuum state. This initial condition is closely related to Hawking's prescription of including in the functional integral only those field configurations which are regular on the Euclidean section. The Green's functions constructed using this initial condition are explicitly shown to be the analytic continuation of those derived using the Euclidean path-integral formalism and the regularity (boundary) condition. These Green's functions are used to study the Hawking effect and the restoration of continuous symmetries. In particular we study the restoration of a broken O(2) symmetry of a Φ4 theory. We argue that spontaneously broken continuous symmetries are always dynamically restored in de Sitter spacetime.

Affiliated with

Also associated with

No associations

Rating

Restoration of spontaneously broken continuous symmetries in de Sitter spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Restoration of spontaneously broken continuous symmetries in de Sitter spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Restoration of spontaneously broken continuous symmetries in de Sitter spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1290449