10,738 research outputs found
Bosonic vacuum wave functions from the BCS-type wave function of the ground state of the massless Thirring model
A BCS-type wave function describes the ground state of the massless Thirring
model in the chirally broken phase. The massless Thirring model with fermion
fields quantized in the chirally broken phase bosonizes to the quantum field
theory of the free massless (pseudo)scalar field (Eur. Phys. J. C20, 723
(2001)). The wave functions of the ground state of the free massless
(pseudo)scalar field are obtained from the BCS-type wave function by averaging
over quantum fluctuations of the Thirring fermion fields. We show that these
wave functions are orthogonal, normalized and non-invariant under shifts of the
massless (pseudo)scalar field. This testifies the spontaneous breaking of the
field-shift symmetry in the quantum field theory of a free massless
(pseudo)scalar field. We show that the vacuum-to-vacuum transition amplitude
calculated for the bosonized BCS-type wave functions coincides with the
generating functional of Green functions defined only by the contribution of
vibrational modes (Eur. Phys. J. C 24, 653 (2002)) . This confirms the
assumption that the bosonized BCS-type wave function is defined by the
collective zero-mode (hep-th/0212226). We argue that the obtained result is not
a counterexample to the Mermin-Wagner-Hohenberg and Coleman theorems.Comment: 9 pages, Latex, no figures, Revised according to the version accepted
for publication in Physics Letters
Towards the Deconfinement Phase Transition in Hot Gauge Theories
The phase structure of hot gauge theories with dynamical matter fields is
reexamined in the canonical ensemble with respect to triality. We discuss
properties of chromoelectric and chromomagnetic sectors of the theory and show
whereas electric charges carrying a unit of Z(N) charge are screened at high
temperatures via dynamical matter loops, this is not the case for the Z(N)
magnetic flux. An order parameter is constructed to probe the realization of
local Z(N) symmetry in the magnetic sector. We argue this order parameter may
be used to detect the deconfinement phase transition which is defined in terms
of the screening mechanism.Comment: poster presented at LATTICE97; 3 pages, late
Center Vortices at Strong Couplings
A long-range effective action is derived for strong-coupling lattice SU(2)
gauge theory in D=3 dimensions. It is shown that center vortices emerge as
stable saddlepoints of this action.Comment: Lattice 2000 (Topology and Vacuum), 4 page
Asymptotic Scaling, Casimir Scaling, and Center Vortices
We report on two recent developments in the center vortex theory of
confinement: (i) the asymptotic scaling of the vortex density, as measured in
Monte Carlo simulations; and (ii) an explanation of Casimir scaling and the
adjoint string tension, in terms of the center vortex mechanism.Comment: LATTICE98(confine), 3 pages, 3 figure
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