Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua

Details Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua

2002-04-16

arxiv.org/abs/hep-ph/0204182v2

Phys.Lett. B539 (2002) 76-84

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex, 9 pages, 8 figures, slightly modified introduction, one added reference and added acknowledgements, version accepted i

Scientific paper

The 't Hooft six quark flavor mixing interaction (N_f=3) is bosonized by the path integral method. The considered complete Lagrangian is constructed on the basis of the combined 't Hooft and U(3)X U(3) extended chiral four fermion Nambu-Jona-Lasinio interactions. The method of the steepest descents is used to derive the effective mesonic Lagrangian. Additionally to the known lowest order stationary phase (SP) result of Reinhardt and Alkofer we obtain the contribution from the small quantum fluctuations of bosonic configurations around their stationary phase trajectories. It affects the vacuum state of hadrons at low energies: whereas without the inclusion of quantum fluctuations the vacuum is uniquely defined for a fixed set of the model parameters, fluctuations give rise to multivalued solutions of the gap equations, marked at instances by drastic changes in the quark condensates. We derive the new gap equations and analyse them in comparison with known results. We classify the solutions according to the number of extrema they may accomodate. We find up to four solutions in the 0

Affiliated with

Also associated with

No associations

Rating

Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua 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 Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral bosonization of the 't Hooft determinant: fluctuations and multiple vacua will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11185