Entropy, confinement, and chiral symmetry breaking

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages, 4 figures,RevTex4

Scientific paper

10.1103/PhysRevD.83.076001

This paper studies the way in which confinement leads to chiral symmetry breaking (CSB) through a gap equation. We argue that entropic effects cut off infrared singularities in the standard confining effective propagator $1/p^4$, which should be replaced by $1/(p^2+m^2)^2$ for a finite mass $m\sim K_F/M(0)$ [$M(0)$ is the zero-momentum value of the running quark mass]. Extension of an old calculation of the author yields a specific estimate for $m$. This cutoff propagator shows semi-quantitatively two critical properties of confinement: 1) a negative contribution to the confining potential coming from entropic forces; 2) an infrared cutoff required by gauge invariance and CSB itself. Entropic effects lead to a proliferation of pion branches and a $\bar{q}q$ condensate, and contribute a negative term $\sim -K_F/M(0)$ to the effective pion Hamiltonian allowing for a massless pion in the presence of positive kinetic energy and string energy. The resulting gap equation leads to a well-behaved running constituent quark mass $M(p^2)$ with $M^2(0)\approx K_F/\pi$. We include one-gluon terms to get the correct renormalization-group ultraviolet behavior, with the improvement that the prefactor (related to $<\bar{q}q>$) can be calculated from the confining solution. We discuss an integrability condition that guarantees the absence of IR singularities at $m=0$ in Minkowski space through use of a principal-part propagator.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Entropy, confinement, and chiral symmetry breaking 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 Entropy, confinement, and chiral symmetry breaking, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy, confinement, and chiral symmetry breaking will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-463045

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.