Conformal geometry

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Revision as of 21:07, 10 January 2014 by en>Quondum (→‎See also: + Conformal geometric algebra)
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This concept is important for working with correlation functions in quantum field theory. It is also important in spontaneous symmetry breaking. Examples are:

The observed Lorentz invariance of space-time allows only the formation of condensates which are Lorentz scalars and have vanishing chargeTemplate:Fact. Thus fermion condensates must be of the form , where ψ is the fermion field. Similarly a tensor field, Gμν, can only have a scalar expectation value such as .

In some vacua of string theory, however, non-scalar condensates are foundTemplate:Which. If these describe our universe, then Lorentz symmetry violation may be observable.

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