New MC determination of the critical coupling in ${\varphi }_2^4$ theory

Abstract

We investigate the non-perturbative features of ${\varphi }_2^4$ theory in two dimensions, using Monte Carlo lattice methods. In particular we determine the ratio $f_0\equiv g/{\mu }^2$, where g is the unrenormalised coupling, in the infinite volume and continuum limit. Our final result is $f_0$ = 11.055(14).

arXiv commentAdding references [12-14]

References in corpus (17)

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Cited by in corpus (16)

• Tensor lattice field theory with applications to the renormalization group and quantum computing
• A scaling hypothesis for matrix product states
• Tensor network analysis of critical coupling in two dimensional ${\varphi }^4$ theory
• $\lambda {\varphi }^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO
• Computing the renormalization group flow of two-dimensional ${\varphi }^4$ theory with tensor networks
• Nonperturbative Matching Between Equal-Time and Lightcone Quantization
• Relativistic continuous matrix product states for quantum fields without cutoff
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• Self-Dualities and Renormalization Dependence of the Phase Diagram in 3d $O(N)$ Vector Models
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Variational method in relativistic quantum field theory without cutoff
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• Tadpoles and vacuum bubbles in light-front quantization
• Quantum phase transitions in a bidimensional $O(N)\times {\mathbb{Z}}_2$ scalar field model
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis