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@article{2264860, author = {Bering Larsen, Klaus}, article_location = {Bristol}, article_number = {19}, doi = {http://dx.doi.org/10.1088/1751-8121/accb1e}, keywords = {Quantum Field Theory; Scattering Amplitudes; Factorization; Integrable Systems;}, language = {eng}, issn = {1751-8113}, journal = {Journal of Physics A: Mathematical and Theoretical}, title = {A note on tree factorization and no particle production}, url = {https://doi.org/10.1088/1751-8121/accb1e}, volume = {56}, year = {2023} }
TY - JOUR ID - 2264860 AU - Bering Larsen, Klaus PY - 2023 TI - A note on tree factorization and no particle production JF - Journal of Physics A: Mathematical and Theoretical VL - 56 IS - 19 SP - 1-20 EP - 1-20 PB - IOP Publishing SN - 17518113 KW - Quantum Field Theory KW - Scattering Amplitudes KW - Factorization KW - Integrable Systems; UR - https://doi.org/10.1088/1751-8121/accb1e N2 - We prove factorization of the generating functional of connected tree diagrams by exploring that it is the Legendre transform of the action. This theorem is then applied to the example of a local relativistic interacting field theory in 2D with a single massive real scalar field that has no derivative couplings and no classical tadpole. In the process we streamline the proof that the assumption of no particle production leads to either the sin(h)-Gordon or the Bullough-Dodd model. ER -
BERING LARSEN, Klaus. A note on tree factorization and no particle production. \textit{Journal of Physics A: Mathematical and Theoretical}. Bristol: IOP Publishing, 2023, roč.~56, č.~19, s.~1-20. ISSN~1751-8113. Dostupné z: https://dx.doi.org/10.1088/1751-8121/accb1e.
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