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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...
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...
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,)...
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...
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...

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