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Symmetries and symmetry breaking
2017Abstract The spontaneous breaking of symmetries (SSB) is discussed for global symmetries and Goldstones theorem is derived. The renormalisation of theories with SSB is studied using the effective potential. Then SSB is applied to the Abelian Higgs model, both on the classical and quantum level.
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Symmetries and Breaking of Symmetries
2016Symmetries help to reduce complexity of calculations. A familiar example is the use of spherical polar coordinates in calculating integrals of quantities which are spherical symmetric. If one manages to find coordinates fitting to symmetries, some of them disappear from the invariant functions and this reduces the calculation task drastically. The same
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Physical Review Letters, 1985
The spontaneous symmetry breaking in higher-dimensional unified field theories is discussed in a general setting. A purely geometric symmetry-breaking mechanism involving no free parameters is presented, in which the symmetry is broken by the higher-dimensional metric through Einstein's equation.
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The spontaneous symmetry breaking in higher-dimensional unified field theories is discussed in a general setting. A purely geometric symmetry-breaking mechanism involving no free parameters is presented, in which the symmetry is broken by the higher-dimensional metric through Einstein's equation.
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Breaking of Accidental Symmetries
2006Fermion mass terms are forbidden by the gauge symmetry of the standard model. Indeed, a Dirac mass term for a fermion field ψ $$ - m\not \bar v\not v = - m\left( {\not \bar v_L \not v_R + \not \bar v_R \not v_L } \right) $$ (9.1) is not invariant under a chiral transformation, i.e.
C. Becchi, Giovanni Ridolfi
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2006
Symmetry occurs in many problems in aritifical intelligence. For example, in the n-queens problem, the chessboard can be rotated 90°. As a second example, several machines in a factory might have the same capacity. In a production schedule, we might therefore be able to swap the jobs on machines with the same capacity.
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Symmetry occurs in many problems in aritifical intelligence. For example, in the n-queens problem, the chessboard can be rotated 90°. As a second example, several machines in a factory might have the same capacity. In a production schedule, we might therefore be able to swap the jobs on machines with the same capacity.
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Symmetry and Symmetry Breakings in Physics
2014Symmetries play a major theoretical role in physics, in particular since the work by E. Noether and H. Weyl in the first half of last century.
Maël Montévil, Giuseppe Longo
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Symmetry and symmetry breaking in nature
Interdisciplinary Science Reviews, 1999Abstract According to Hermann Weyl and in the words of Richard P. Feynman, an object is symmetric if one can subject it to a certain operation and it appears exactly the same after the operation. This paper generalises this definition of symmetry of objects in space to symmetries of the laws of nature.
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