Abstract:
The reduction of the structure theory of the operator algebras of quantum projective (sl(2,C)-invariant) field theory (QPFT operator algebras) to a commutative exterior differential calculus by means of the operation of renormalization of a pointwise product of operator fields is described.
This publication is cited in the following 3 articles:
D. V. Yur'ev, “Complex projective geometry and quantum projective field theory”, Theoret. and Math. Phys., 101:3 (1994), 1387–1403
D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler–Arnol'd equations in projective G multiplets”, Theoret. and Math. Phys., 98:2 (1994), 147–161
S. A. Bychkov, D. V. Yur'ev, “Three algebraic structures of quantum projective (sl(2,C)-invariant) field theory”, Theoret. and Math. Phys., 97:3 (1993), 1333–1339