Algebraic field theory operads and linear quantization

@article{Bruinsma2018AlgebraicFT,
  title={Algebraic field theory operads and linear quantization},
  author={S. Bruinsma and Alexander Schenkel},
  journal={arXiv: Mathematical Physics},
  year={2018}
}
We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broader class of field theories whose observables on a spacetime are algebras over any single-colored operad. A novel feature of our framework is that it gives rise to adjunctions between different types of field theories. As an interesting example, we study an adjunction whose left adjoint describes the quantization of linear field theories. We also analyze homotopical properties of the linear… Expand
2 Citations

References

SHOWING 1-10 OF 40 REFERENCES
...
1
2
3
4
...