Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-01-23
Phys.Rev.D70:105010,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
46 pages, PRD version, references added
Scientific paper
10.1103/PhysRevD.70.105010
A loop or coupling expansion of a so-called n-particle irreducible (nPI) generating functional provides a well-defined approximation scheme in terms of self-consistently dressed propagators and n-point vertices. A self-consistently complete description determines the functional for arbitrarily high n to a given order in the expansion. We point out an equivalence hierarchy for nPI effective actions, which allows one to obtain a self-consistently complete result in practice. The method is applied to a SU(N) gauge theory with fermions up to four-loop or O(g^6) corrections. For non-equilibrium we discuss the connection to kinetic theory. The leading-order on-shell results in g can be obtained from the three-loop effective action approximation, which already includes in particular all diagrams enhanced by the Landau Pomeranchuk Migdal effect. Furthermore, we compare the effective action approach with Schwinger-Dyson (SD) equations. By construction, SD equations are expressed in terms of loop diagrams including both classical and dressed vertices, which leads to ambiguities of whether classical or dressed ones should be employed at a given truncation order. We point out that these problems are absent using effective action techniques. We show that a wide class of truncations of SD equations cannot be obtained from the nPI effective action. In turn, our results can be used to resolve SD ambiguities of whether classical or dressed vertices should be employed at a given truncation order.
No associations
LandOfFree
n-Particle irreducible effective action techniques for gauge theories 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 n-Particle irreducible effective action techniques for gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and n-Particle irreducible effective action techniques for gauge theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-7818