scholarly journals High-temperature effective potential of noncommutative scalar field theory: Reduction of degrees of freedom by noncommutativity

2001 ◽  
Vol 63 (12) ◽  
Author(s):  
Wung-Hong Huang
Keyword(s):  
Field Theory ◽  
High Temperature ◽  
Scalar Field ◽  
Effective Potential ◽  
Degrees Of Freedom ◽  
Scalar Field Theory ◽  
Theory Reduction

BLOCH–NORDSIECK ESTIMATES OF A HIGH-TEMPERATURE SCALAR FIELD THEORY

2005 ◽  
Vol 20 (32) ◽  
pp. 7525-7546 ◽  
Author(s):  
B. CANDELPERGHER ◽  
H. M. FRIED ◽  
T. GRANDOU
Keyword(s):  
Field Theory ◽  
High Temperature ◽  
Scalar Field ◽  
Heat Bath ◽  
Damping Factor ◽  
Scalar Field Theory ◽  
Clear Cut ◽  
Subsequent Application ◽  
Thermal Medium ◽  
Temperature Scalar

In anticipation of subsequent application to QED and QCD, we consider the case of a model, high temperature, relativistic, scalar field theory. We introduce into the exact, nonperturbative, functional expressions of this "quenched" model, a new Fradkin representation, and extract the infrared/Bloch–Nordsieck/(IR/BN) contributions of every perturbative graph, in order to circumvent the lack of a clear-cut separation of energy scales of previous semiperturbative treatments. Our results are applicable to the absorption of a fast particle which enters a heat bath, as well as to the propagation of a symmetric pulse within the thermal medium due to the appearance of an instantaneous, shockwave-like source acting in the medium. In momentum space, the former case displays a propagator which decays exponentially with increasing time, in addition to a new damping factor independent of time. The latter case displays an exponential growth with time of the symmetric pulse, generating effective and increasing plasmon waves, in competition with damping independent of time. When extended to QCD, qualitative applications could be made to RHIC scattering, in which a fireball appears, expands and is damped away.

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 Momentum-space entanglement in scalar field theory on fuzzy spheres

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Shoichi Kawamoto ◽  
Tsunehide Kuroki
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Momentum Space ◽  
Degrees Of Freedom ◽  
Entanglement Entropy ◽  
Noncommutative Space ◽  
Quantum Field ◽  
Fuzzy Sphere ◽  
Scalar Field Theory ◽  
Different Characteristics

Abstract Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the degrees of freedom of different energy scales. In this paper, we investigate such correlations by the use of entanglement entropy in the momentum space. We explicitly evaluate the entanglement entropy of scalar field theory on a fuzzy sphere and find that it exhibits different behaviors from that on the usual continuous sphere. We argue that these differences would originate in different characteristics; non-planar contributions and matrix regularizations. It is also found that the mutual information between the low and the high momentum modes shows different scaling behaviors when the effect of a cutoff becomes important.

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
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