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Quantum fields in toroidal topology
Quantum fields Topology Compactification c*-and Lie algebra
2011/10/10
Abstract: The standard representation of c*-algebra is used to describe fields in compactified space-time dimensions characterized by topologies of the type $ \Gamma_{D}^{d}=(\mathbb{S}^{1})^{d}\times...
Nontrivial realization of the space-time translations in the theory of quantum fields
Nontrivial realization of the space-time translations theory of quantum fields
2010/12/15
In standard quantum field theory, the one–particle states are classified by unitary epresentations of the Poincar´e group, whereas the causal fields’ classification employs the finite dimensiona...
Covariant Quantum Fields on Noncommutative Spacetimes
Covariant Quantum Fields Noncommutative Spacetimes
2010/12/16
A spinless covariant field ϕ on Minkowski spacetime Md+1 obeys the relation U(a,)ϕ(x)U(a,)−1 =ϕ(x + a) where (a,) is an element of the Poincar´e group P↑ + and U : (a,)...
Determinism and a Supersymmetric Classical Model of Quantum Fields
a Supersymmetric Classical Model Quantum Fields
2010/10/13
A quantum field theory is described which is a supersymmetric classical model. Supersymmetry generators of the system are used to split its Liouville operator into two contributions, with positive and...
On the Trace Anomaly and the Energy-Momentum Conservation of Quantum Fields at D=2 in Classical Curved Backgrounds
the Energy-Momentum Conservation Quantum Fields Classical Curved Backgrounds
2010/10/21
We study the conformal symmetry and the energy-momentum conservation of scalar field interacting with a curved background at D = 2. We avoid to incorporate the metric determinant into the measure of t...