One-loop effective potential of the Higgs field on the Schwarzschild background

Details One-loop effective potential of the Higgs field on the Schwarzschild background One-loop effective potential of the Higgs field on the Schwarzschild background

2009-09-16

arxiv.org/abs/0909.3048v2

Phys.Rev.D80:124020,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25pp., 2 figures; considerable changes, correct path-integral measure is used

Scientific paper

10.1103/PhysRevD.80.124020

A one-loop effective potential of the Higgs field on the Schwarzschild background is derived in the framework of a toy model: a SO(N) scalar multiplet interacting with the gauge fields, the SO(N) gauge symmetry being broken by the Higgs mechanism. As expected, the potential depends on the space point and results in a mass shift of all massive particles near a black hole. It is shown that the obtained potential depends on the space point through the metric component $g_{00}$ in the adapted coordinates and has the same form for an arbitrary static, spherically symmetric background. Some properties of this potential are investigated. In particular, if the conformal symmetry holds valid for massless particles on the given background, there exist only two possible scenarios depending on a sign of an arbitrary constant arising from the regularization procedure: the masses of all massive particles grow infinitely when they approach the black hole horizon, or the gauge symmetry is restored at a finite distance from the horizon and all particles become massless. If the conformal symmetry is spoiled, an additional term in the effective potential appears and the intermediate regime arises. Several normalization conditions fixing the undefined constants are proposed, and estimations for the mass shifts are given in these cases.

Affiliated with

Also associated with

No associations

Rating

One-loop effective potential of the Higgs field on the Schwarzschild background 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 One-loop effective potential of the Higgs field on the Schwarzschild background, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-loop effective potential of the Higgs field on the Schwarzschild background will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583424