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PreprintCC BY 4.0arXiv

Critical coupling with zero-mode corrections in discretized light-cone quantized ϕ4 theory

  • Shreeram Jawadekar
  • Mamoon A. Sharaf
  • James P. Vary
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Abstract

We present an advancement for solving the Discretized Light-Cone Quantization (DLCQ) Hamiltonian for mass spectra in 2D ϕ4 theory that incorporates perturbative zero-mode contributions. We demonstrate that this correction accelerates numerical convergence of the mass eigenstates with increasing resolution and yields a critical coupling of comparable accuracy with a substantial reduction in computational costs. Specifically, with more than one order of magnitude reduction in basis space dimensionality we achieve an extrapolated critical coupling of 23.10 ± 0.25 compared with 23.53 ± 0.26 in the larger basis but without zero-mode correction. We employ Gaussian Process Regression for extrapolation to the continuum limit. The approach we present here is prospective for studies of higher-dimensional gauge theories.

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Cite

BibTeXRIS
BibTeX
@misc{jawadekar2026critical,
  title = {{Critical coupling with zero-mode corrections in discretized light-cone quantized $ϕ^4$ theory}},
  author = {Shreeram Jawadekar and Mamoon A. Sharaf and James P. Vary},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.02972},
  eprint = {2608.02972},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.02972},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Critical coupling with zero-mode corrections in discretized light-cone quantized ϕ^4 theory
AU  - Shreeram Jawadekar
AU  - Mamoon A. Sharaf
AU  - James P. Vary
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.02972
UR  - https://arxiv.org/abs/2608.02972
AB  - We present an advancement for solving the Discretized Light-Cone Quantization (DLCQ) Hamiltonian for mass spectra in 2D ϕ^4 theory that incorporates perturbative zero-mode contributions. We demonstrate that this correction accelerates numerical convergence of the mass eigenstates with increasing resolution and yields a critical coupling of comparable accuracy with a substantial reduction in computational costs. Specifically, with more than one order of magnitude reduction in basis space dimensionality we achieve an extrapolated critical coupling of 23.10 ± 0.25 compared with 23.53 ± 0.26 in the larger basis but without zero-mode correction. We employ Gaussian Process Regression for extrapolation to the continuum limit. The approach we present here is prospective for studies of higher-dimensional gauge theories.
ER  -