Radial lattice quantization of 3D field theory
The quantum extension of classical finite elements, referred to as quantum finite elements, is applied to the radial quantization of 3d Φ4 theory on a simplicial lattice for the $$\mathbb{R}$$ × $$\mathbb{S}$$2 manifold. Explicit counter terms to cancel the one- and two-loop ultraviolet defects are implemented to reach the quantum continuum theory. Using the Brower-Tamayo cluster Monte Carlo algorithm, numerical results support the QFE ansatz that the critical conformal field theory (CFT) is reached in the continuum with the full isometries of $$\mathbb{R}$$ × $$\mathbb{S}$$2 restored. The Ricci curvature term, while technically irrelevant in the quantum theory, is shown to dramatically improve the convergence opening, the way for high precision Monte Carlo simulation to determine the CFT data: operator dimensions, trilinear OPE couplings and the central charge.
- Research Organization:
- Boston Univ., MA (United States)
- Sponsoring Organization:
- USDOE; Swiss National Science Foundation (SNSF)
- Grant/Contract Number:
- SC0015845; SC0019061; 200021_175761
- OSTI ID:
- 1829176
- Alternate ID(s):
- OSTI ID: 1833383
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 9; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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