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Partition function (quantum field theory)

About: Partition function (quantum field theory) is a research topic. Over the lifetime, 2743 publications have been published within this topic receiving 66281 citations.


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Journal ArticleDOI
TL;DR: In this paper, the authors conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of SCFTs recently defined by one of the authors.
Abstract: We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of \({\mathcal{N}=2}\) SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0, 1.

1,881 citations

Journal ArticleDOI
TL;DR: In this article, the Verlinde formula is derived from the partition function of a conformal field theory in an annulus, and a simple derivation of the vertex formula is given.

1,385 citations

Journal ArticleDOI
TL;DR: By studying the partition function of N = 4 topologically twisted supersymmetric Yang-Mills on four-manifolds, this paper made an exact strong coupling test of the Montonen-Olive strong-weak duality conjecture.

1,381 citations

Book ChapterDOI
26 Jun 2003
TL;DR: In this paper, the authors investigated various representations for this partition function: a statistical sum over random partitions, a partition function of the ensemble of random curves, and a free fermion correlator.
Abstract: We study \( \mathcal{N} = 2 \) supersymmetric four-dimensional gauge theories, in a certain 525-02 = 2 supergravity background, called theΩ-background. The partition function of the theory in the Ω-background can be calculated explicitly. We investigate various representations for this partition function: a statistical sum over random partitions, a partition function of the ensemble of random curves, and a free fermion correlator.

1,350 citations

Journal ArticleDOI
TL;DR: In this article, a general theory for polymer adsorption using a quasi-crystalline lattice model is presented, where the Bragg-Williams approximation of random mixing within each layer parallel to the surface is adopted.
Abstract: We present a general theory for polymer adsorption using a quasi-crystalline lattice model. The partition function for a mixture of polymer chains and solvent molecules near an interface is evaluated by adopting the Bragg-Williams approximation of random mixing within each layer parallel to the surface. The interaction between segments and solvent molecules is taken into account by use of the Flory-Huggins parameter x; that between segments and the interface is described in terms of the differential adsorption energy parameter xs. No approximation was made about an equal contribution of all the segments of a chain to the segment density in each layer. By differentiating the partition function with respect to the number of chains having a particular conformation an expression is obtained that gives the numbers of chains in each conformation in equilibrium. Thus also the train, loop, and tail size distribution can be computed. Calculations are carried out numerically by a modified matrix procedure as introduced by DiMarzio and Rubin. Computations for chains containing up to lo00 segments are possible. Data for the adsorbed amount r, the surface coverage 0, and the bound fraction p = O/r are given as a function of xs, the bulk solution volume fraction c#J,, and the chain length r for two x values. The results are in broad agreement with earlier theories, although typical differences occur. Close to the surface the segment density decays roughly exponentially with increasing distance from the surface, but at larger distances the decay is much slower. This is related to the fact that a considerable fraction of the adsorbed segments is present in the form of long dangling tails, even for chains as long as r = 1000. In previous theories the effect of tails was usually neglected. Yet the occurrence of tails is important for many practical applications. Our theory can be easily extended to polymer in a gap between two plates (relevant for colloidal stability) and to copolymers.

1,180 citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023149
2022304
2021146
2020123
2019115
2018102