Pdf Unitary Equivalence In Field Theory Quantization We give formulas for the coherent state starproduct quantization of a bergman domain d. a formulation of a (regularized) non commutative scalar field on a quantized d is given. In this letter we consider the quantization of a real free scalar field –where the fock quantization is well understood– on an arbitrary background and show that the representation coming from the most natural application of the algebraic quan tization approach is not, in general, unitary equivalent to the corresponding schr ̈odinger fock.

Pdf On Flux Quantization In F Theory Ii Unitary And Symplectic Gauge A characteristic, and provocative, feature of quantum field theory (qft) is the availability of unitarily inequivalent hilbert space representations of its canonical commutation relations (ccrs). We find a natural fock representation that admits a unitary implementation of the quantum field dynamics. it automatically allows to define a particle number density at all times in the. Quantum field theory and phase transitions symmetry breaking and unitary inequivalence david sanchez de la pe~na under the supervision of. Eld theory or a statistical theory in the thermody namic limit, there are many inequivalent theories which compete to be called its \quantization". work on the problem of unitarily inequivalent representations is done in the algebraic framework for quantum theories. one begins by representing physical observables as elements of an abstract.

The Equivalence Between A Euclidean Field Theory And Classical Quantum field theory and phase transitions symmetry breaking and unitary inequivalence david sanchez de la pe~na under the supervision of. Eld theory or a statistical theory in the thermody namic limit, there are many inequivalent theories which compete to be called its \quantization". work on the problem of unitarily inequivalent representations is done in the algebraic framework for quantum theories. one begins by representing physical observables as elements of an abstract. In this letter we consider the quantization of a real free scalar field where the fock quantization is well understood on an arbitrary background and show that the representation coming from the most natural application of the algebraic quantization approach is not, in general, unitary equivalent to the corresponding schroedinger fock. This lecture series gives an introduction to the basics of quantum eld theory. it describes how to quantise the basic types of elds, how to handle their quantum operators and how to treat (su ciently weak) interactions. In this letter we consider the quantization of a real free scalar field where the fock quantization is well understood on an arbitrary background and show that the representation from the. The problem of defining and constructing representations of the canonical commutation relations can be systematically approached via the technique of {\it algebraic quantization}.