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For questions about mathematical problems arising from quantum field theory, the branch of physics which describes subatomic particles and their interactions in terms of perturbations of the corresponding scalar, vector or tensor fields.

3 votes

Geometric or conceptual way to understand supersymmetry algebra

If you are looking for geometric-algebraic interpretations of supersymmetric field theories, then non-commutative geometry -in the sense of A. Connes- seems to be the natural playground. There has bee …
Konstantinos Kanakoglou's user avatar
7 votes

What is the relation between BRST quantization and gauge fixing quantization

I do not think that it makes sense to say that the gauge-fixing is a special case of BRST quantization: $\rightarrow$ The gauge-fixing procedure is actually a normalization technique and it is utili …
Konstantinos Kanakoglou's user avatar
3 votes

Braided Hopf algebras and Quantum Field Theories

I think that -apart from the applications in CFT and TFT already mentioned in previous answers- one of the most fundamental applications of braided Hopf algebras (with both non-trivial and "calculable …
Konstantinos Kanakoglou's user avatar