608 research outputs found
Specific Heat Exponent for the 3-d Ising Model from a 24-th Order High Temperature Series
We compute high temperature expansions of the 3-d Ising model using a
recursive transfer-matrix algorithm and extend the expansion of the free energy
to 24th order. Using ID-Pade and ratio methods, we extract the critical
exponent of the specific heat to be alpha=0.104(4).Comment: 10 pages, LaTeX with 5 eps-figures using epsf.sty, IASSNS-93/83 and
WUB-93-4
Series expansions without diagrams
We discuss the use of recursive enumeration schemes to obtain low and high
temperature series expansions for discrete statistical systems. Using linear
combinations of generalized helical lattices, the method is competitive with
diagramatic approaches and is easily generalizable. We illustrate the approach
using the Ising model and generate low temperature series in up to five
dimensions and high temperature series in three dimensions. The method is
general and can be applied to any discrete model. We describe how it would work
for Potts models.Comment: 24 pages, IASSNS-HEP-93/1
Lived Experiences of the Indian Stigmatized Group in Reference to Socio-Political Empowerment: A Phenomenological Approach
The authors present the lived experiences of the stigmatized castes in the context of the opportunities made available by the government of India for their Socio-Political Empowerment. The study aimed to gain an understanding about the respondentsâ unique experiences of caste-based stigmatization at their workplace, their overall experience of empowerment at work and the other spheres of their lives, and to capture their perceived importance of, and the success of reservation policy as well as several other initiatives taken by the Government of India for empowering the marginalized castes. Semi-structured interviews were conducted with 10 male Schedule Caste/Schedule Tribe respondents working at respectable positions in the government organizations situated in the National Capital Region of Delhi. The phenomenological approach (Langdridge, 2007) was used to unearth the essence of the participantâs experiences of stigma driven treatments. The overall perceptions and experiences of the respondents included experiencing direct and indirect forms of caste-related discrimination at workplace; experiencing economic, social and psychological empowerment but not at the workplace; favouring the policy of reservation for Schedule Caste/Schedule Tribe in government jobs; and believing in the improper implementation of policies in India. The research findings indicate the incomplete success of the governmental policies for the holistic empowerment of the Indian marginalized castes
Low temperature expansion for the 3-d Ising Model
We compute the weak coupling expansion for the energy of the three
dimensional Ising model through 48 excited bonds. We also compute the
magnetization through 40 excited bonds. This was achieved via a recursive
enumeration of states of fixed energy on a set of finite lattices. We use a
linear combination of lattices with a generalization of helical boundary
conditions to eliminate finite volume effects.Comment: 10 pages, IASSNS-HEP-92/42, BNL-4767
How light can the Higgs be?
It is widely believed that, for a given Top mass, the Higgs mass has a lower
bound: if m_Higgs is too small, the Higgs vacuum is unstable due to Top
dynamics. From vacuum instability, the state-of-the-art calculation of the
lower bound is close to the current experimental limit. Using non-perturbative
simulations and large N calculations, we show that the vacuum is in fact never
unstable. Instead, we investigate the existence of a new lower bound, based on
the intrinsic cut-off of this trivial theory.Comment: 3 pages, 4 figures, uses espcrc2.sty, Lattice2003(higgs
Low-Temperature Series for Ising Model by Finite-Lattice Method
We have calculated the low-temperature series for the second moment of the
correlation function in Ising model to order and for the free
energy of Absolute Value Solid-on-Solid (ASOS) model to order , using
the finite-lattice method.Comment: 3pages, latex, no figures, talk given at LATTICE'94, to appear in the
proceeding
Large-q expansion of the energy and magnetization cumulants for the two-dimensional q-state Potts model
We have calculated the large-q expansion for the energy cumulants and the
magnetization cumulants at the phase transition point in the two-dimensional
q-state Potts model to the 21st or 23rd order in using the finite
lattice method. The obtained series allow us to give very precise estimates of
the cumulants for on the first order transition point. The result
confirms us the correctness of the conjecture by Bhattacharya et al. on the
asymptotic behavior not only of the energy cumulants but also of the
magnetization cumulants for .Comment: 36 pages, LaTeX, 20 postscript figures, to appear in Nuclear Physics
A Noisy Monte Carlo Algorithm
We propose a Monte Carlo algorithm to promote Kennedy and Kuti's linear
accept/reject algorithm which accommodates unbiased stochastic estimates of the
probability to an exact one. This is achieved by adopting the Metropolis
accept/reject steps for both the dynamical and noise configurations. We test it
on the five state model and obtain desirable results even for the case with
large noise. We also discuss its application to lattice QCD with stochastically
estimated fermion determinants.Comment: 10 pages, 1 tabl
Low-Temperature Series for the Correlation Length in Ising Model
We extend low-temperature series for the second moment of the correlation
function in simple-cubic Ising model from to using
finite-lattice method, and combining with the series for the susceptibility we
obtain the low-temperature series for the second-moment correlation length to
. An analysis of the obtained series by inhomogeneous differential
approximants gives critical exponents and .Comment: 13 pages + 5 uuencoded epsf figures in Latex, OPCT-94-
On the large N limit, W_\infty Strings, Star products, AdS/CFT Duality, Nonlinear Sigma Models on AdS spaces and Chern-Simons p-branes
It is shown that the large limit of SU(N) YM in -dim
backgrounds can be subsumed by a higher dimensional gravitational theory
which can be identified to an -dim generally invariant gauge theory of diffs
, where is an -dim internal space (Cho, Sho, Park, Yoon). Based on
these findings, a very plausible geometrical interpretation of the
correspondence could be given. Conformally invariant sigma models in
dimensions with target non-compact SO(2n,1) groups are reviewed. Despite the
non-compact nature of the SO(2n,1), the classical action and Hamiltonian are
positive definite. Instanton field configurations are found to correspond
geometrically to conformal ``stereographic'' mappings of into the
Euclidean signature spaces. The relation between Self Dual branes
and Chern-Simons branes, High Dimensional Knots, follows. A detailed discussion
on symmetry is given and we outline the Vasiliev procedure to
construct an action involving higher spin massless fields in . This
spacetime higher spin theory should have a one-to-one correspondence to
noncritical strings propagating on .Comment: 43 pages, Tex fil
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