Scaling analysis of the 0(4) symmetric Phi**4 theory in the broken phase - INSPIRE

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Scaling analysis of the 0(4) symmetric Phi**4 theory in the broken phase

Meinulf Gockeler
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
Hans A. Kastrup
(
- Aachen, Tech. Hochsch.
)
,
Thomas Neuhaus
(
- Bielefeld U.
)
,
Frank Zimmermann
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)

Jun, 1992

34 pages

Published in:

Nucl.Phys.B 404 (1993) 517-555

e-Print:

hep-lat/9206025 [hep-lat]

DOI:

10.1016/0550-3213(93)90489-C

Report number:

HLRZ-92-35,
PITHA-92-21

View in:

ADS Abstract Service

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Abstract:

We study the

O(4)

--symmetric

\Phi~4

--theory in the scaling region of the broken phase using the standard and a Symanzik improved action with infinite bare self-coupling

\lambda

. A high precision Monte Carlo simulation is performed by applying the reflection cluster algorithm. Employing the histogram method we analytically continue to a sequence of values of the hopping parameter

\kappa

neighbouring the actually simulated ones. In the investigated vicinity of the critical point

\kappa_{c}

finite volume effects affecting, e.g., the determination of the field expectation value

\Sigma

and the mass

m_\sigma

of the

\sigma

--particle are very well described by

1

--loop renormalized perturbation theory. We carry out a detailed scaling analysis on a high level of precision. Finally we discuss the upper bound on the Higgs mass for both kinds of actions.

phi**n model: 4
symmetry: O(4)
lattice field theory: action
scaling
Higgs particle: mass
mass: Higgs particle
upper limit
effect: finite size
renormalization
perturbation theory

References(32)

Figures(0)

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