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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2505.13030 |
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| _version_ | 1866911052365561856 |
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| author | Zarate, M. Rodriguez Thiemann, T. |
| author_facet | Zarate, M. Rodriguez Thiemann, T. |
| contents | In previous works in this series we focussed on Hamiltonian renormalisation of free field theories in all spacetime dimensions. In this paper we address the Hamiltonian renormalisation of the self-interacting scalar field in two spacetime dimensions with polynomial potential, called P(Phi,2). We consider only the finite volume case.
The P(Phi,2) theory is one of the few interacting QFT's that can be rigorously constructed non-perturbatively. We find that our Hamiltonian renormalisation flow finds this theory indeed as a fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13030 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory Zarate, M. Rodriguez Thiemann, T. High Energy Physics - Theory General Relativity and Quantum Cosmology In previous works in this series we focussed on Hamiltonian renormalisation of free field theories in all spacetime dimensions. In this paper we address the Hamiltonian renormalisation of the self-interacting scalar field in two spacetime dimensions with polynomial potential, called P(Phi,2). We consider only the finite volume case. The P(Phi,2) theory is one of the few interacting QFT's that can be rigorously constructed non-perturbatively. We find that our Hamiltonian renormalisation flow finds this theory indeed as a fixed point. |
| title | Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.13030 |