86 research outputs found
Hard Thermal Loops, Gauged WZNW Action and the Energy of Hot Quark-Gluon Plasma
The generating functional for hard thermal loops in QCD is rewritten in terms
of a gauged WZNW action by introducing an auxiliary field. This shows in a
simple way that the contribution of hard thermal loops to the energy of the
quark-gluon plasma is positive.Comment: 9 pages, CU-TP 60
Hard Thermal Loops, Static Response and the Composite Effective Action
First, we investigate the static non-Abelian Kubo equation. We prove that it
does not possess finite energy solutions; thereby we establish that gauge
theories do not support hard thermal solitons. A similar argument shows that
"static" instantons are absent. In addition, we note that the static equations
reproduce the expected screening of the non-Abelian electric field by a gauge
invariant Debye mass m=gT sqrt((N+N_F/2)/3). Second, we derive the non-Abelian
Kubo equation from the composite effective action. This is achieved by showing
that the requirement of stationarity of the composite effective action is
equivalent, within a kinematical approximation scheme, to the condition of
gauge invariance for the generating functional of hard thermal loops.Comment: 17 pages, MIT preprint CTP#2261. An Appendix [including one
(appended) PS figure] presenting a numerical analysis of the static solutions
has been included. A note relating our approach to alternative ones has been
added. We have also added references and comments in Section II
A Simple Derivation of the Hard Thermal Loop Effective Action
We use the background field method along with a special gauge condition, to
derive the hard thermal loop effective action in a simple manner. The new point
in the paper is to relate the effective action explicitly to the S-matrix from
the onset.Comment: 11 pages, Latex; lost text after sect. 2 reinserte
High Temperature Response Functions and the Non-Abelian Kubo Formula
We describe the relationship between time-ordered and retarded response
functions in a plasma. We obtain an expression, including the proper
-prescription, for the induced current due to hard thermal loops in
a non-Abelian theory, thus giving the non-Abelian generalization of the Kubo
formula. The result is closely related to the eikonal for a Chern-Simons theory
and is relevant for a gauge-invariant description of Landau damping in the
quark-gluon plasma at high temperature.Comment: 14 pages in LaTeX, MIT CTP #2205 and CU-TP #59
Remarks on Goldstone bosons and hard thermal loops
The hard thermal loop effective action for Goldstone bosons is deduced by
symmetry arguments from the corresponding result for gauge bosons. Pseudoscalar
mesons in Chromodynamics and magnons in an antiferromagnet are discussed as
special cases, including the hard thermal loop contribution to their
scattering.Comment: 11 pages, LaTe
Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory
We establish the equivalence of the Maxwell-Chern-Simons-Proca model to a
doublet of Maxwell-Chern-Simons models at the level of polarization vectors of
the basic fields using both Lagrangian and Hamiltonian formalisms. The analysis
reveals a U(1) invariance of the polarization vectors in the momentum space.
Its implications are discussed. We also study the role of Wigner's little group
as a generator of gauge transformations in three space-time dimensions.Comment: LaTex, 30 pages, no figure
Spontaneous Symmetry Breaking for Scalar QED with Non-minimal Chern-Simons Coupling
We investigate the two-loop effective potential for both minimally and
non-minimally coupled Maxwell-Chern-Simons theories. The non-minimal gauge
interaction represents the magnetic moment interaction between a charged scalar
and the electromagnetic field. In a previous paper we have shown that the two
loop effective potential for this model is renormalizable with an appropriate
choice of the non-minimal coupling constant. We carry out a detailed analysis
of the spontaneous symmetry breaking induced by radiative corrections. As long
as the renormalization point for all couplings is chosen to be the true minimum
of the effective potential, both models predict the presence of spontaneous
symmetry breaking. Two loop corrections are small compared to the one loop
result, and thus the symmetry breaking is perturbatively stable.Comment: Revtex 25 pages, 9 figure
Bosonic Description of Spinning Strings in Dimensions
We write down a general action principle for spinning strings in 2+1
dimensional space-time without introducing Grassmann variables. The action is
written solely in terms of coordinates taking values in the 2+1 Poincare group,
and it has the usual string symmetries, i.e. it is invariant under a)
diffeomorphisms of the world sheet and b) Poincare transformations. The system
can be generalized to an arbitrary number of space-time dimensions, and also to
spinning membranes and p-branes.Comment: Latex, 12 page
Hard-Loop Effective Action for Anisotropic Plasmas
We generalize the hard-thermal-loop effective action of the equilibrium
quark-gluon plasma to a non-equilibrium system which is space-time homogeneous
but for which the parton momentum distribution is anisotropic. We show that the
manifestly gauge-invariant Braaten-Pisarski form of the effective action can be
straightforwardly generalized and we verify that it then generates all n-point
functions following from collisionless gauge-covariant transport theory for a
homogeneous anisotropic plasma. On the other hand, the Taylor-Wong form of the
hard-thermal-loop effective action has a more complicated generalization to the
anisotropic case. Already in the simplest case of anisotropic distribution
functions, it involves an additional term that is gauge invariant by itself,
but nontrivial also in the static limit.Comment: 12 pages. Version 3: typo in (15) corrected, note added discussing
metric conventions use
Chern-Simons Theory and the Quark-Gluon Plasma
The generating functional for hard thermal loops in QCD is important in
setting up a resummed perturbation theory, so that all terms of a given order
in the coupling constant can be consistently taken into account. It is also the
functional which leads to a gauge invariant description of Debye screening and
plasma waves in the quark-gluon plasma. We have recently shown that this
functional is closely related to the eikonal for a Chern-Simons gauge theory.
In this paper, this relationship is explored and explained in more detail,
along with some generalizations.Comment: 28 pages (4 Feynman diagrams not included, available upon request
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