Nonperturbative dynamics of (2+1)d \(\varphi^4\)-theory from Hamiltonian truncation
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Publication:2048039
DOI10.1007/JHEP05(2021)190zbMATH Open1466.81086arXiv2010.09730OpenAlexW3165758974MaRDI QIDQ2048039
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Publication date: 4 August 2021
Published in: (Search for Journal in Brave)
Abstract: We use Lightcone Conformal Truncation (LCT) -- a version of Hamiltonian truncation -- to study the nonperturbative, real-time dynamics of -theory in 2+1 dimensions. This theory has UV divergences that need to be regulated. We review how, in a Hamiltonian framework with a total energy cutoff, renormalization is necessarily emph{state-dependent}, and UV sensitivity cannot be canceled with standard local operator counterterms. To overcome this problem, we present a prescription for constructing the appropriate state-dependent counterterms for (2+1)d -theory in lightcone quantization. We then use LCT with this counterterm prescription to study -theory, focusing on the symmetry-preserving phase. Specifically, we compute the spectrum as a function of the coupling and demonstrate the closing of the mass gap at a (scheme-dependent) critical coupling. We also compute Lorentz-invariant two-point functions, both at generic strong coupling and near the critical point, where we demonstrate IR universality and the vanishing of the trace of the stress tensor.
Full work available at URL: https://arxiv.org/abs/2010.09730
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