121,109 research outputs found

### Baryon Tri-local Interpolating Fields

We systematically investigate tri-local (non-local) three-quark baryon fields
with U_L(2)*U_R(2) chiral symmetry, according to their Lorentz and isospin
(flavor) group representations. We note that they can also be called as
"nucleon wave functions" due to this full non-locality. We study their chiral
transformation properties and find all the possible chiral multiplets
consisting J=1/2 and J=3/2 baryon fields. We find that the axial coupling
constant |g_A| = 5/3 is only for nucleon fields belonging to the chiral
representation (1/2,1)+(1,1/2) which contains both nucleon fields and Delta
fields. Moreover, all the nucleon fields belonging to this representation have
|g_A| = 5/3.Comment: 8 pages, 3 tables, accepted by EPJ

### Logarithmic conformal field theory approach to topologically massive gravity

We study the topologically massive gravity at the chiral point (chiral
gravity) by using the logarithmic conformal field theory. Two new tensor fields
of $\psi^{new}$ and $X$ are introduced for a candidate of propagating physical
field at the chiral point. However, we show that ($\psi^{new},\psi^L$) form a
dipole ghost pair of unphysical fields and $X$ is not a primary. This implies
that there is no physically propagating degrees of freedom at the chiral point.Comment: 11 page

### Monte Carlo Studies of the Ordering of the Three-Dimensional Isotropic Heisenberg Spin Glass in Magnetic Fields

Spin and chirality orderings of the three-dimensional Heisenberg spin glass
under magnetic fields are studied by large-scale equilibrium Monte Carlo
simulations. It is found that the chiral-glass transition and the chiral-glass
ordered state, which are essentially of the same character as their zero-field
counterparts, occur under magnetic fields. The chiral-glass ordered state
exhibits a one-step-like peculiar replica-symmetry breaking in the chiral
sector, while it does not accompany the spin-glass order perpendicular to the
applied field. Critical perperties of the chiral-glass transition are different
from those of the standard Ising spin glass. Magnetic phase diagram of the
model is constructed, which reveals that the chiral-glass state is quite robust
against magnetic fields. The chiral-glass transition line has a character of
the Gabay-Toulouse line of the mean-field model, yet its physical origin being
entirely different. These numerical results are discussed in light of the
recently developed spin-chirality decoupling-recoupling scenario. Implication
to experimental phase diagram is also discussed.Comment: 23 pages, 23 figure

### Axially symmetric multi-baryon solutions and their quantization in the chiral quark soliton model

In this paper, we study axially symmetric solutions with $B=2-5$ in the
chiral quark soliton model.In the background of axially symmetric chiral
fields, the quark eigenstates and profile functions of the chiral fields are
computed self-consistently. The resultant quark bound spectrum are doubly
degenerate due to the symmetry of the chiral field. Upon quantization, various
observable spectra of the chiral solitons are obtained. Taking account of the
Finkelstein-Rubinstein constraints, we show that our results exactly coincide
with the physical observations for B=2 and 4 while B=3 and 5 do not.Comment: 19 pages, 11 figures, 5 table

### Properties of Semi-Chiral Superfields

Whenever the N=(2,2) supersymmetry algebra of non-linear sigma-models in two
dimensions does not close off-shell, a holomorphic two-form can be defined. The
only known superfields providing candidate auxiliary fields to achieve an
off-shell formulation are semi-chiral fields. Such a semi-chiral description is
only possible when the two-form is constant. Using an explicit example,
hyper-Kahler manifolds, we show that this is not always the case. Finally, we
give a concrete construction of semi-chiral potentials for a class of
hyper-Kahler manifolds using the duality exchanging a pair consisting of a
chiral and a twisted-chiral superfield for one semi-chiral multiplet.Comment: LaTeX, 17 page

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