Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field

Details Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field

1995-06-16

arxiv.org/abs/gr-qc/9506029v2

Phys.Rev. D53 (1996) 1874-1888

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, REVTeX 3.0, 15 uuencoded ps-figures. The construction of the representation has been changed so that the representat

Scientific paper

10.1103/PhysRevD.53.1874

Quantization of the system comprising gravitational, fermionic and electromagnetic fields is developed in the loop representation. As a result we obtain a natural unified quantum theory. Gravitational field is treated in the framework of Ashtekar formalism; fermions are described by two Grassmann-valued fields. We define a $C^{*}$-algebra of configurational variables whose generators are associated with oriented loops and curves; ``open'' states -- curves -- are necessary to embrace the fermionic degrees of freedom. Quantum representation space is constructed as a space of cylindrical functionals on the spectrum of this $C^{*}$-algebra. Choosing the basis of ``loop'' states we describe the representation space as the space of oriented loops and curves; then configurational and momentum loop variables become in this basis the operators of creation and annihilation of loops and curves. The important difference of the representation constructed from the loop representation of pure gravity is that the momentum loop operators act in our case simply by joining loops in the only compatible with their orientaiton way, while in the case of pure gravity this action is more complicated.

Affiliated with

Also associated with

No associations

Rating

Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422141