Journal article
A PDE Construction of the Euclidean $$\Phi ^4_3$$ Quantum Field Theory
- Abstract:
- This is a remark paper for the Φ43 -measure and the associated flow on the torus which are constructed in [1] by the limit of the stationary processes of the stochastic quantization equations of approximation measures. We improve the integrability of the state space of the Φ43 -process and the support of the Φ43 -measure. For the improvement, we improve the estimates of the Hölder continuity in time of the solutions to approximation equations. In the present paper, we only discuss the estimates different from those in [1]
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.0MB, Terms of use)
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- Publisher copy:
- 10.1007/s00220-021-04022-0
Authors
+ German Research Foundation
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- Funder identifier:
- https://ror.org/018mejw64
- Grant:
- CRC1060
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/R014604/1
- Publisher:
- Springer
- Journal:
- Communications in Mathematical Physics More from this journal
- Volume:
- 384
- Issue:
- 1
- Pages:
- 1-75
- Publication date:
- 2021-04-15
- DOI:
- EISSN:
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1432-0916
- ISSN:
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0010-3616
- Language:
-
English
- Pubs id:
-
1307778
- Local pid:
-
pubs:1307778
- Source identifiers:
-
W3152868203
- Deposit date:
-
2025-08-20
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