442 research outputs found
Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
We consider a supersymmetric U(N) gauge theory with matter fields in the
adjoint, fundamental and anti-fundamental representations. As in the framework
which was put forward by Dijkgraaf and Vafa, this theory can be described by a
matrix model. We analyze this theory along the lines of [F. Cachazo, M.
Douglas, N.S. and E. Witten, ``Chiral Rings and Anomalies in Supersymmetric
Gauge Theory'' hep-th/0211170] and show the equivalence of the gauge theory and
the matrix model. In particular, the anomaly equations in the gauge theory is
identified with the loop equations in the matrix model.Comment: 14 page
Exact Mesonic Vacua From Matrix Models
We investigate in detail the structure of mesonic vacua of N=1 U(Nc)
supersymmetric gauge theory with Nf flavors from the matrix model. We show that
the Witten index from the matrix model calculation agrees with a result from
field theoretical analysis. We also discuss the relationship between a
diagrammatic summation and direct matrix integration with insertion of a
variable changing delta function. Using this formalism, we obtain the quantum
moduli space and evidence of the Seiberg duality from the matrix models.Comment: 14 pages, 1 figure, typos corrected and note on the quamtum moduli
space adde
Factor Varieties
The universal algebraic literature is rife with generalisations of discriminator varieties, whereby several investigators have tried to preserve in more general settings as much as possible of their structure theory. Here, we modify the definition of discriminator algebra by having the switching function project onto its third coordinate in case the ordered pair of its first two coordinates belongs
to a designated relation (not necessarily the diagonal relation). We call these algebras factor algebras and the varieties they generate factor varieties. Among other things, we provide an equational description of these varieties and match equational conditions involving the factor term with properties of the associated factor relation. Factor varieties include, apart from discriminator varieties, several varieties of algebras from quantum and fuzzy logics
Quantum Phase Fluctuations Responsible for Pseudogap
The effect of ordering field phase fluctuations on the normal and
superconducting properties of a simple 2D model with a local four-fermion
attraction is studied. Neglecting the coupling between the spin and charge
degrees of freedom an analytical expression has been obtained for the fermion
spectral function as a single integral over a simple function. From this we
show that, as the temperature increases through the 2D critical temperature and
a nontrivial damping for a phase correlator develops, quantum fluctuations fill
the gap in the quasiparticle spectrum. Simultaneously the quasiparticle peaks
broaden significantly above the critical temperature, resembling the observed
pseudogap behavior in high-T_c superconductors.Comment: 5 pages, ReVTeX, 1 EPS figure; final version to appear in Physica
Adding flavor to Dijkgraaf-Vafa
We study matrix models related via the correspondence of Dijkgraaf and Vafa
to supersymmetric gauge theories with matter in the fundamental. As in
flavorless examples, measure factors of the matrix integral reproduce
information about R-symmetry violation in the field theory. The models, studied
previously as models of open strings, exhibit a large-M phase transition as the
number of flavors is varied. This is the matrix model's manifestation of the
end of asymptotic freedom. Using the relation to a quiver gauge theory, we
extract the effective glueball superpotential and Seiberg-Witten curve from the
matrix model.Comment: 15 pages, harvmac; improved analysis of the healing of cuts, added
calculation of superpotential, improved referencing and notatio
The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
Using generalized Konishi anomaly equations, it is known that one can
express, in a large class of supersymmetric gauge theories, all the chiral
operators expectation values in terms of a finite number of a priori arbitrary
constants. We show that these constants are fully determined by the requirement
of gauge invariance and an additional anomaly equation. The constraints so
obtained turn out to be equivalent to the extremization of the Dijkgraaf-Vafa
quantum glueball superpotential, with all terms (including the
Veneziano-Yankielowicz part) unambiguously fixed. As an application, we fill
non-trivial gaps in existing derivations of the mass gap and confinement
properties in super Yang-Mills theories.Comment: 31 pages, 1 figure; v2: typos corrected; references, a note on
Kovner-Shifman vacua (section 4.3) and a few clarifying comments in Section 3
added; v3: cosmetic changes, JHEP versio
Chiral Rings and Phases of Supersymmetric Gauge Theories
We solve for the expectation values of chiral operators in supersymmetric
U(N) gauge theories with matter in the adjoint, fundamental and
anti-fundamental representations. A simple geometric picture emerges involving
a description by a meromorphic one-form on a Riemann surface. The equations of
motion are equivalent to a condition on the integrality of periods of this
form. The solution indicates that all semiclassical phases with the same number
of U(1) factors are continuously connected.Comment: 55 page
Varied Signature Splitting Phenomena in Odd Proton Nuclei
Varied signature splitting phenomena in odd proton rare earth nuclei are
investigated. Signature splitting as functions of and in the angular
momentum projection theory is explicitly shown and compared with those of the
particle rotor model. The observed deviations from these rules are due to the
band mixings. The recently measured Ta high spin data are taken as a
typical example where fruitful information about signature effects can be
extracted. Six bands, two of which have not yet been observed, were calculated
and discussed in detail in this paper. The experimentally unknown band head
energies are given
Anomalous Crossing Frequency in Odd Proton Nuclei
A generic explanation for the recently observed anomalous crossing
frequencies in odd proton rare earth nuclei is given. As an example, the proton
band in Ta is discussed in detail by using the
angular momentum projection theory. It is shown that the quadrupole pairing
interaction is decisive in delaying the crossing point and the changes in
crossing frequency along the isotope chain are due to the different neutron
shell fillings
One-pot Synthesis of Soluble Nanoscale CIGS Photoactive Functional Materials
Promising alternatives for solar energy utilization are thin film technologies involving various new materials. This contribution describes an easy and inexpensive synthetic method that can be used to prepare soluble nanoscale triphenyl phosphine-coordinated CIGS (TPP-CIGS) photoactive functional materials. This complex is stable in the solid state under the irradiation of the ambient light, but its solution becomes a little bit unstable under the illumination of the low intensity laser
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