70 research outputs found
The collective quantization of three-flavored Skyrmions revisited
A self-consistent large approach is developed for the collective
quantization of SU(3) flavor hedgehog solitons, such as the Skyrmion. The key
to this analysis is the determination of all of the zero modes associated with
small fluctuations around the hedgehog. These are used in the conventional way
to construct collective coordinates. This approach differs from previous work
in that it does not implicitly assume that each static zero mode is associated
with a dynamical zero mode. It is demonstrated explicitly in the context of the
Skyrmion that there are fewer dynamical zero modes than static ones due to the
Witten-Wess-Zumino term in the action. Group-theoretic methods are employed to
identify the physical states resulting from canonical quantization of the
collectively rotating soliton. The collective states fall into representations
of SU(3) flavor labeled by and are given by
where is the spin of the collective state. States with
strangeness do not arise as collective states from this procedure; thus
the (pentaquark) resonance does not arise as a collective
excitation in models of this type.Comment: 12 pages; uses package "youngtab
Silicon nanowires for advanced sensing: Electrical and electromechanical characteristics and functionalisation technology
Calculation of the One W Loop Decay Amplitude with a Lattice Regulator
There has been a controversial recent claim that the standard result on the
Higgs to two photon decay rate is incorrect, with the use of dimensional
regularization fingered as the alleged culprit. Given the great importance of
the process as a possible Standard Model Higgs discovery
channel at the LHC if the Higgs mass is light, it is critical to find a way to
check the correctness of the results of dimensional regularization for this
process. Here we report the results of a perturbative calculation of the decay amplitude using a spacetime lattice as a UV regulator,
which is the only known gauge-invariant regulator for non-Abelian gauge
theories other than dimensional regularization. We find that the decay
amplitude calculated using lattice-regularized perturbation theory is
consistent to very high statistical accuracy with the decay amplitude obtained
using dimensional regularization.Comment: 5 pages, 4 figure
Steady state and transient thermal analysis of hot spots in 3D stacked ICs using dedicated test chips
n/
White grubs (Coleoptera, Melolonthidae) in the "Planalto Region", Rio Grande do Sul state, Brazil: Key for identification, species richness and distribution
Baryonic Popcorn
In the large N limit cold dense nuclear matter must be in a lattice phase.
This applies also to holographic models of hadron physics. In a class of such
models, like the generalized Sakai-Sugimoto model, baryons take the form of
instantons of the effective flavor gauge theory that resides on probe flavor
branes. In this paper we study the phase structure of baryonic crystals by
analyzing discrete periodic configurations of such instantons. We find that
instanton configurations exhibit a series of "popcorn" transitions upon
increasing the density. Through these transitions normal (3D) lattices expand
into the transverse dimension, eventually becoming a higher dimensional (4D)
multi-layer lattice at large densities.
We consider 3D lattices of zero size instantons as well as 1D periodic chains
of finite size instantons, which serve as toy models of the full holographic
systems. In particular, for the finite-size case we determine solutions of the
corresponding ADHM equations for both a straight chain and for a 2D zigzag
configuration where instantons pop up into the holographic dimension. At low
density the system takes the form of an "abelian anti-ferromagnetic" straight
periodic chain. Above a critical density there is a second order phase
transition into a zigzag structure. An even higher density yields a rich phase
space characterized by the formation of multi-layer zigzag structures. The
finite size of the lattices in the transverse dimension is a signal of an
emerging Fermi sea of quarks. We thus propose that the popcorn transitions
indicate the onset of the "quarkyonic" phase of the cold dense nuclear matter.Comment: v3, 80 pages, 18 figures, footnotes 5 and 7 added, version to appear
in the JHE
Parity-Violating Hydrodynamics in 2+1 Dimensions
We study relativistic hydrodynamics of normal fluids in two spatial
dimensions. When the microscopic theory breaks parity, extra transport
coefficients appear in the hydrodynamic regime, including the Hall viscosity,
and the anomalous Hall conductivity. In this work we classify all the transport
coefficients in first order hydrodynamics. We then use properties of response
functions and the positivity of entropy production to restrict the possible
coefficients in the constitutive relations. All the parity-breaking transport
coefficients are dissipationless, and some of them are related to the
thermodynamic response to an external magnetic field and to vorticity. In
addition, we give a holographic example of a strongly interacting relativistic
fluid where the parity-violating transport coefficients are computable.Comment: 39+1 page
Singular values of the Dirac operator in dense QCD-like theories
We study the singular values of the Dirac operator in dense QCD-like theories
at zero temperature. The Dirac singular values are real and nonnegative at any
nonzero quark density. The scale of their spectrum is set by the diquark
condensate, in contrast to the complex Dirac eigenvalues whose scale is set by
the chiral condensate at low density and by the BCS gap at high density. We
identify three different low-energy effective theories with diquark sources
applicable at low, intermediate, and high density, together with their
overlapping domains of validity. We derive a number of exact formulas for the
Dirac singular values, including Banks-Casher-type relations for the diquark
condensate, Smilga-Stern-type relations for the slope of the singular value
density, and Leutwyler-Smilga-type sum rules for the inverse singular values.
We construct random matrix theories and determine the form of the microscopic
spectral correlation functions of the singular values for all nonzero quark
densities. We also derive a rigorous index theorem for non-Hermitian Dirac
operators. Our results can in principle be tested in lattice simulations.Comment: 3 references added, version published in JHE
Large N and Bosonization in Three Dimensions
Bosonization is normally thought of as a purely two-dimensional phenomenon,
and generic field theories with fermions in D>2 are not expected be describable
by local bosonic actions, except in some special cases. We point out that 3D
SU(N) gauge theories on R^{1,1} x S^{1}_{L} with adjoint fermions can be
bosonized in the large N limit. The key feature of such theories is that they
enjoy large N volume independence for arbitrary circle size L. A consequence of
this is a large N equivalence between these 3D gauge theories and certain 2D
gauge theories, which matches a set of correlation functions in the 3D theories
to corresponding observables in the 2D theories. As an example, we focus on a
3D SU(N) gauge theory with one flavor of adjoint Majorana fermions and derive
the large-N equivalent 2D gauge theory. The extra dimension is encoded in the
color degrees of freedom of the 2D theory. We then apply the technique of
non-Abelian bosonization to the 2D theory to obtain an equivalent local theory
written purely in terms of bosonic variables. Hence the bosonized version of
the large N three-dimensional theory turns out to live in two dimensions.Comment: 30 pages, 2 tables. v2 minor revisions, references adde
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