Grad \(\phi\) perturbations of massless Gaussian fields
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Publication:918051
DOI10.1007/BF02096987zbMath0705.60101MaRDI QIDQ918051
Horng-Tzer Yau, David C. Brydges
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The infrared behaviour of \((\nabla \Phi)^ 4_ 3\)
- The dipole phase in the two-dimensional hierarchical Coulomb gas: Analyticity and correlations decay
- Ultraviolet stability in Euclidean scalar field theories
- Gaussian measures in Banach spaces
- On the Partition Function of a One-Dimensional Gas
- Partition functions as averages of functionals of gaussian random functions
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