Spontaneous Breaking of Global and Local Symmetries

2016 ◽  
pp. 72-78
Author(s):  
Pran Nath
Keyword(s):  
Spontaneous Breaking ◽  
Local Symmetries ◽  
Global And Local

scholarly journals Modeling Strategies to Compute Natural Circulation Using CFD in a VHTR After a LOFA

2012 ◽  
Author(s):  
Yu-Hsin Tung ◽  
Richard W. Johnson ◽  
Ching-Chang Chieng ◽  
Yuh-Ming Ferng
Keyword(s):  
Heat Transfer ◽  
Natural Circulation ◽  
Department Of Energy ◽  
Full Potential ◽  
The Core ◽  
Triso Fuel ◽  
Flow And Heat Transfer ◽  
Local Symmetries ◽  
Fuel Particles ◽  
Global And Local

A prismatic gas-cooled very high temperature reactor (VHTR) is being developed under the next generation nuclear plant program (NGNP) of the U.S. Department of Energy, Office of Nuclear Energy. In the design of the prismatic VHTR, hexagonal shaped graphite blocks are drilled to allow insertion of fuel pins, made of compacted tristructural-isotropic (TRISO) fuel particles, and coolant channels for the helium coolant. One of the concerns for the reactor design is the effects of a loss of flow accident (LOFA) where the coolant circulators are lost for some reason, causing a loss of forced coolant flow through the core. In such an event, it is desired to know what happens to the (reduced) heat still being generated in the core and if it represents a problem for the fuel compacts, the graphite core or the reactor vessel (RV) walls. One of the mechanisms for the transport of heat out of the core is by the natural circulation of the coolant, which is still present. It is desired to know how much heat may be transported by natural circulation through the core and upwards to the top of the upper plenum. It is beyond current capability for a computational fluid dynamics (CFD) analysis to perform a calculation on the whole RV with a sufficiently refined mesh to examine the full potential of natural circulation in the vessel. The present paper reports the investigation of several strategies to model the flow and heat transfer in the RV. It is found that it is necessary to employ representative geometries of the core to estimate the heat transfer. However, by taking advantage of global and local symmetries, a detailed estimate of the strength of the resulting natural circulation and the level of heat transfer to the top of the upper plenum is obtained.

Local and global color symmetries of a symmetrical pattern

2019 ◽  
Vol 75 (5) ◽  
pp. 730-745
Author(s):  
Agatha Kristel Abila ◽  
Ma. Louise Antonette De Las Peñas ◽  
Eduard Taganap
Keyword(s):  
Symmetry Group ◽  
Local Symmetry ◽  
Global Symmetry ◽  
Color Symmetry ◽  
Usual Approach ◽  
Symmetrical Pattern ◽  
Symmetry Theory ◽  
Global Symmetry Group ◽  
Local Symmetries ◽  
Global And Local

This study addresses the problem of arriving at transitive perfect colorings of a symmetrical pattern {\cal P} consisting of disjoint congruent symmetric motifs. The pattern {\cal P} has local symmetries that are not necessarily contained in its global symmetry group G. The usual approach in color symmetry theory is to arrive at perfect colorings of {\cal P} ignoring local symmetries and considering only elements of G. A framework is presented to systematically arrive at what Roth [Geom. Dedicata (1984), 17, 99–108] defined as a coordinated coloring of {\cal P}, a coloring that is perfect and transitive under G, satisfying the condition that the coloring of a given motif is also perfect and transitive under its symmetry group. Moreover, in the coloring of {\cal P}, the symmetry of {\cal P} that is both a global and local symmetry, effects the same permutation of the colors used to color {\cal P} and the corresponding motif, respectively.

scholarly journals SUPERGRAVITY DUAL OF THE SUPERCONFORMAL ANOMALY

2011 ◽  
Vol 26 (25) ◽  
pp. 4475-4509
Author(s):  
WENFENG CHEN
Keyword(s):  
Field Theory ◽  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Space Time ◽  
Spontaneous Breaking ◽  
Spontaneous Compactification ◽  
Local Symmetries ◽  
Supersymmetric Gauge ◽  
Higgs Effect

The supergravity dual of the superconformal anomaly multiplet in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between an [Formula: see text]SU(N+M) × SU(N) supersymmetric gauge theory and type IIB superstring in a space–time background described by the Klebanov–Strassler solution. Based on the fact that fractional D3-branes lead to superconformal anomaly on the field theory side and in the meantime deform AdS 5 × T1, 1 space–time background on the gravity side, we observe the five-dimensional gauged supergravity yielded from the spontaneous compactification on the deformed T1, 1, and find that the spontaneous breaking of local symmetries and the consequent super-Higgs effect in the gauged AdS5 supergravity should be the dual of the superconformal anomaly of the four-dimensional supersymmetric gauge theory.

The Global and Local Symmetries of Nanostructured Ferroelectric Relaxor 0.94(Bi0.5Na0.5)TiO3– 0.06BaTiO3

2014 ◽  
Vol 469 (1) ◽  
pp. 50-60 ◽  
Author(s):  
María E. Montero-Cabrera ◽  
Lorena Pardo ◽  
Alvaro García ◽  
María E. Fuentes-Montero ◽  
M. Lourdes Ballinas-Casarrubias ◽  
...  
Keyword(s):  
Ferroelectric Relaxor ◽  
Local Symmetries ◽  
Global And Local

Symmetries and Conservation Laws

2018 ◽  
pp. 105-133
Author(s):  
Yemima Ben-Menahem
Keyword(s):  
Conservation Laws ◽  
Gauge Theories ◽  
A Priori ◽  
Exclusion Principle ◽  
Gauge Freedom ◽  
Causal Function ◽  
Symmetry Principles ◽  
Conceptual Relation ◽  
Local Symmetries ◽  
Global And Local

This chapter examines how symmetry principles—despite their a priori appearance—function as causal constraints through their conceptual relation with conservation laws. It first provides an overview of how symmetries are linked to causation by focusing on some of their interconnections with other members of the causal family. It then considers an excellent illustration of the causal function of symmetries in physics, Pauli's exclusion principle, before discussing conservation laws in relation to symmetries. The chapter then explains the distinction between active and passive symmetries, and between global and local symmetries (or geometric versus dynamic symmetries, respectively), as well as gauge theories and the notion of gauge freedom. The chapter concludes with an analysis of Curie's principle and how it is intertwined with symmetries.

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