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Non-perturbatively gauge-fixed compact lattice gauge theory
An extensive study of the compact lattice gauge theory with a higher
derivative gauge-fixing term and a suitable counter-term has been undertaken to
determine the nature of the possible continuum limits for a wide range of the
parameters, especially at strong gauge couplings (), adding to our
previous study at a single gauge coupling \cite{DeSarkar2016}. Our
major conclusion is that a continuum limit of free massless photons (with the
redundant pure gauge degrees of freedom decoupled) is achieved at any gauge
coupling, not necessarily small, provided the coefficient of
the gauge-fixing term is sufficiently large. In fact, the region of continuous
phase transition leading to the above physics in the strong gauge coupling
region is found to be analytically connected to the point and
where the classical action has a global
unique minimum, around which weak coupling perturbation theory in bare
parameters is defined, controlling the physics of the whole region. A second
major conclusion is that, local algorithms like Multihit Metropolis fail to
produce faithful field configurations with large values of the coefficient
of the higher derivative gauge-fixing term and at large
lattice volumes. A global algorithm like Hybrid Monte Carlo, although at times
slow to move out of metastabilities, generally is able to produce faithful
configurations and has been used extensively in the current study.Comment: 25 pages, 18 figures, version accepted for publication in JHE
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A Bayesian mixture model for term re-occurrence and burstiness
This paper proposes a model for term reoccurrence in a text collection based on the gaps between successive occurrences of a term. These gaps are modeled using
a mixture of exponential distributions. Parameter
estimation is based on a Bayesian framework that allows us to fit a flexible model. The model provides measures of a term’s re-occurrence rate and withindocument burstiness. The model works for all kinds of terms, be it rare content
word, medium frequency term or frequent function word. A measure is proposed to account for the term’s importance based on its distribution pattern in the corpus
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