Corpus ID: 118577244

Interacting Quantum Fields in Curved Space: Renormalizability of $\varphi^4$

@article{Brunetti1997InteractingQF,
  title={Interacting Quantum Fields in Curved Space: Renormalizability of \$\varphi^4\$},
  author={R. Brunetti and K. Fredenhagen},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={1997}
}
We present a perturbative construction of the $\varphi^4$ model on a smooth globally hyperbolic space-time. Our method relies on a adaptation of the Epstein and Glaser method of renormalization to curved space-times using techniques from microlocal analysis. 
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