An O(N) symmetric extension of the Sine-Gordon Equation

Details An O(N) symmetric extension of the Sine-Gordon Equation An O(N) symmetric extension of the Sine-Gordon Equation

2003-04-11

arxiv.org/abs/hep-th/0304112v2

Phys.Rev. D68 (2003) 045011

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex (Revtex4) v3:minor grammatical changes and additions

Scientific paper

10.1103/PhysRevD.68.045011

We discuss an O(N) exension of the Sine-Gordon (S-G)equation which allows us to perform an expansion around the leading order in large-N result using Path-Integral methods. In leading order we show our methods agree with the results of a variational calculation at large-N. We discuss the striking differences for a non-polynomial interaction between the form for the effective potential in the Gaussian approximation that one obtains at large-N when compared to the N=1 case. This is in contrast to the case when the classical potential is a polynomial in the field and no such drastic differences occur. We find for our large-N extension of the Sine-Gordon model that the unbroken ground state is unstable as one increases the coupling constant (as it is for the original S-G equation) and we determine the stability criteria.

Affiliated with

Also associated with

No associations

Rating

An O(N) symmetric extension of the Sine-Gordon Equation 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 An O(N) symmetric extension of the Sine-Gordon Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An O(N) symmetric extension of the Sine-Gordon Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-411331