21 research outputs found
Transition Amplitudes within the Stochastic Quantization Scheme
Quantum mechanical transition amplitudes are calculated within the stochastic
quantization scheme for the free nonrelativistic particle, the harmonic
oscillator and the nonrelativistic particle in a constant magnetic field; we
close with free Grassmann quantum mechanics.Comment: 14 pages, LaTeX, UWThPh-1993-23 and DPUR 6
On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories
We apply the BV formalism to non-commutative field theories, introduce BRST
symmetry, and gauge-fix the models. Interestingly, we find that treating the
full gauge symmetry in non-commutative models can lead to reducible gauge
algebras. As one example we apply the formalism to the Connes-Lott two-point
model. Finally, we offer a derivation of a superversion of the
Harish-Chandra-Itzykson-Zuber integral.Comment: 20 pages, LaTeX. v2: minor corrections. v3: Added an Appendix about
Harish-Chandra-Itzykson-Zuber integrals. v4: Added Reference
Higgs coupling constants as a probe of new physics
We study new physics effects on the couplings of weak gauge bosons with the
lightest CP-even Higgs boson (), , and the tri-linear coupling of the
lightest Higgs boson, , at the one loop order, as predicted by the two
Higgs doublet model. Those renormalized coupling constants can deviate from the
Standard Model (SM) predictions due to two distinct origins; the tree level
mixing effect of Higgs bosons and the quantum effect of additional particles in
loop diagrams. The latter can be enhanced in the renormalized coupling
constant when the additional particles show the non-decoupling property.
Therefore, even in the case where the coupling is close to the SM value,
deviation in the coupling from the SM value can become as large as plus
100 percent, while that in the coupling is at most minus 1 percent level.
Such large quantum effect on the Higgs tri-linear coupling is distinguishable
from the tree level mixing effect, and is expected to be detectable at a future
linear collider.Comment: 52 pages, 10 figures, revtex
Roles of the color antisymmetric ghost propagator in the infrared QCD
The results of Coulomb gauge and Landau gauge lattice QCD simulation do not
agree completely with continuum theory. There are indications that the ghost
propagator in the infrared region is not purely color diagonal as in high
energy region. After presenting lattice simulation of configurations produced
with Kogut-Susskind fermion (MILC collaboration) and those with domain wall
fermion (RBC/UKQCD collaboration), I investigate in triple gluon vertex and the
ghost-gluon-ghost vertex how the square of the color antisymmetric ghost
contributes. Then the effect of the vertex correction to the gluon propagator
and the ghost propagator is investigated.
Recent Dyson-Schwinger equation analysis suggests the ghost dressing function
finite and no infrared enhancement or . But the ghost
propagator renormalized by the loop containing a product of color antisymmetric
ghost is expected to behave as with
with , if the fixed point
scenario is valid. I interpret the solution should contain a
vertex correction. The infrared exponent of our lattice Landau gauge gluon
propagator of the RBC/UKQCD is and that of MILC is about
-0.7.
The implication for the Kugo-Ojima color confinement criterion, QCD effective
coupling and the Slavnov identity are given.Comment: 13 pages 10 figures, references added and revised. version to be
published in Few-Body System
Problemata ethika, peri eudaimonias
quae ... praeside Laurentio Thoma ... defendere conabitur Georg. Heinrich HüffelStraßburg, Univ., Diss., 161