Abstract:
We consider the φ4 quantum field theory in four dimensions. The Gaussian part of the measure is modified to simulate 4−ε dimensions where ε is small and positive. We give a renormalization group analysis for the infrared behavior of the resulting model. We find that the Gaussian fixed point is unstable but that there is a hyperbolic non-Gaussian fixed point a distance ?(ε) away. In a neighborhood of this fixed point we construct the stable manifold.
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Received: 11 September 1997 / Accepted: 30 March 1998
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Brydges, D., Dimock, J. & Hurd, T. A Non-Gaussian Fixed Point for φ4 in 4−ε Dimensions. Comm Math Phys 198, 111–156 (1998). https://doi.org/10.1007/s002200050474
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DOI: https://doi.org/10.1007/s002200050474