62 research outputs found
Vacuum Structure of Twisted Scalar Field Theories on M^{D-1} \otimes S^1
We study scalar field theories on M^{D-1} \otimes S^1, which allow to impose
twisted boundary conditions for the S^1 direction, in detail and report several
interesting properties overlooked so far. One of characteristic features is the
appearance of critical radii of the circle S^1. A phase transition can occur at
the classical level or can be caused by quantum effects. Radiative corrections
can restore broken symmetries or can break symmetries for small radius. A
surprising feature is that the translational invariance for the S^1 direction
can spontaneously be broken. A particular class of coordinate-dependent vacuum
configurations is clarified and the O(N) \phi^4 model on M^{D-1}\otimes S^1 is
extensively studied, as an illustrative example.Comment: 27 pages, 4 figures, LaTex2
Linkage control between molecular and supramolecular chirality in 21-helical hydrogen-bonded networks using achiral components
Development of QSAR models using artificial neural network analysis for risk assessment of repeated-dose, reproductive, and developmental toxicities of cosmetic ingredients
Octadehydrodibenzo[12]annulene-Based Organogels: Two Methyl Ester Groups Prevent Crystallization and Promote Gelation
Octadehydrodibenzo[12]annulene-Based Organogels: Two Methyl Ester Groups Prevent Crystallization and Promote Gelation
Hexaazatriphenylene-Based Hydrogen-Bonded Organic Framework with Permanent Porosity and Single-Crystallinity
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