Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation

Yang Li; V. A. Karmanov; P. Maris; J. P. Vary

doi:10.1007/s00601-015-0965-0

Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation

Yang Li, V. A. Karmanov, P. Maris, J. P. Vary

Mathematics & Statistics

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Abstract

The quenched scalar Yukawa theory is solved in the light-front Tamm–Dancoff approach including up to four constituents (one scalar nucleon, three scalar pions). The Fock sector dependent renormalization is implemented. By studying the Fock sector norms, we find that the lowest two Fock sectors dominate the state even in the large-coupling region. The one-body sector shows convergence with respect to the Fock sector truncation. However, the four-body norm exceeds the three-body norm at the coupling α≈1.7.

Original language	English (US)
Pages (from-to)	495-501
Number of pages	7
Journal	Few-Body Systems
Volume	56
Issue number	6-9
DOIs	https://doi.org/10.1007/s00601-015-0965-0
State	Published - Oct 1 2015

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© 2015, Springer-Verlag Wien.

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AU - Li, Yang

AU - Karmanov, V. A.

AU - Maris, P.

AU - Vary, J. P.

PY - 2015/10/1

Y1 - 2015/10/1

N2 - The quenched scalar Yukawa theory is solved in the light-front Tamm–Dancoff approach including up to four constituents (one scalar nucleon, three scalar pions). The Fock sector dependent renormalization is implemented. By studying the Fock sector norms, we find that the lowest two Fock sectors dominate the state even in the large-coupling region. The one-body sector shows convergence with respect to the Fock sector truncation. However, the four-body norm exceeds the three-body norm at the coupling α≈1.7.

AB - The quenched scalar Yukawa theory is solved in the light-front Tamm–Dancoff approach including up to four constituents (one scalar nucleon, three scalar pions). The Fock sector dependent renormalization is implemented. By studying the Fock sector norms, we find that the lowest two Fock sectors dominate the state even in the large-coupling region. The one-body sector shows convergence with respect to the Fock sector truncation. However, the four-body norm exceeds the three-body norm at the coupling α≈1.7.

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Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation

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