Universal Effective Potential for Scalar Field Theory in Three Dimensions by Monte Carlo Computation

1994 ◽  
Vol 73 (15) ◽  
pp. 2015-2018 ◽  
Author(s):  
M. M. Tsypin
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Scalar Field ◽  
Effective Potential ◽  
Three Dimensions ◽  
Scalar Field Theory ◽  
Monte Carlo Computation

scholarly journals Effective potential in scalar field theory

1987 ◽  
Vol 35 (10) ◽  
pp. 3187-3192 ◽  
Author(s):  
Kerson Huang ◽  
Efstratios Manousakis ◽  
Janos Polonyi
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Effective Potential ◽  
Scalar Field Theory

scholarly journals Coleman–Weinberg potential in p-adic field theory

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Dmitry S. Ageev ◽  
Andrey A. Bagrov ◽  
Askar A. Iliasov
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Effective Potential ◽  
Space Time ◽  
The Other ◽  
Quantum Corrections ◽  
Real Field ◽  
Scalar Field Theory ◽  
Other Hand ◽  
Peculiar Behavior

AbstractIn this paper, we study $$\lambda \phi ^4$$ λ ϕ 4 scalar field theory defined on the unramified extension of p-adic numbers $${\mathbb {Q}}_{p^n}$$ Q p n . For different “space-time” dimensions n, we compute one-loop quantum corrections to the effective potential. Surprisingly, despite the unusual properties of non-Archimedean geometry, the Coleman–Weinberg potential of p-adic field theory has structure very similar to that of its real cousin. We also study two formal limits of the effective potential, $$p \rightarrow 1$$ p → 1 and $$p \rightarrow \infty $$ p → ∞ . We show that the $$p\rightarrow 1$$ p → 1 limit allows to reconstruct the canonical result for real field theory from the p-adic effective potential and provide an explanation of this fact. On the other hand, in the $$p\rightarrow \infty $$ p → ∞ limit, the theory exhibits very peculiar behavior with emerging logarithmic terms in the effective potential, which has no analogue in real theories.

scholarly journals Scalar field theory limits of bosonic string amplitudes

2000 ◽  
Vol 579 (1-2) ◽  
pp. 379-410 ◽  
Author(s):  
Alberto Frizzo ◽  
Lorenzo Magnea ◽  
Rodolfo Russo
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Bosonic String ◽  
Scalar Field Theory ◽  
String Amplitudes

On causality in polymer scalar field theory

2011 ◽  
Author(s):  
Angel A. García-Chung ◽  
Hugo A. Morales-Técotl ◽  
Luis Arturo Ureña-López ◽  
Hugo Aurelio Morales-Técotl ◽  
Román Linares-Romero ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory

scholarly journals ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

1998 ◽  
Vol 13 (31) ◽  
pp. 2495-2501 ◽  
Author(s):  
KURT LANGFELD ◽  
HUGO REINHARDT
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Particle ◽  
Higgs Sector ◽  
Asymptotic Freedom ◽  
Scalar Field Theory ◽  
Large N ◽  
The Standard Model ◽  
Conceptual Problems ◽  
The Continuum

A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ4-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard ϕ4-theory contradicts phenomenology due to triviality.

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