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Standard Model with a classical conformal invariance holds the promise to give a better understanding of the hierarchy problem and could pave the way for beyond the standard model physics. So, we give here a mathematical treatment of a…

高能物理 - 唯象学 · 物理学 2014-06-30 Marco Frasca

Low-energy effective field theories containing a light scalar field are used extensively in cosmology, but often there is a tension between embedding such theories in a healthy UV completion and achieving a phenomenologically viable…

广义相对论与量子宇宙学 · 物理学 2021-11-17 Anne-Christine Davis , Scott Melville

We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant…

高能物理 - 理论 · 物理学 2025-08-12 Mark Van Raamsdonk , Rana Zibakhsh

Spherical field theory is a new non-perturbative method for studying quantum field theories. It uses the spherical partial wave expansion to reduce a general d-dimensional Euclidean field theory into a set of coupled one-dimensional…

高能物理 - 理论 · 物理学 2010-11-19 Dean Lee

We start by discussing the classical noncommutative (NC) Q-ball solutions near the commutative limit, then generalize the virial relation. Next we quantize the NC Q-ball canonically. At very small theta quantum correction to the energy of…

高能物理 - 理论 · 物理学 2009-11-07 Xiaozhen Xiong

We revisit the dimensionally deconstructed scalar quantum electrodynamics and consider the (Euclidean) propagator of the scalar field in the model. Although we have previously investigated the one-loop effect in this model by obtaining the…

高能物理 - 理论 · 物理学 2023-05-30 Nahomi Kan , Kiyoshi Shiraishi

Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $\theta$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the…

高能物理 - 理论 · 物理学 2009-11-10 Hugo Garcia-Compean , Pablo Paniagua

Using the factorization approach of quantum mechanics, we obtain a family of iso-spectral scalar potentials for noncommutative quantum cosmology. The family we build is based on a scattering Wheeler-DeWitt solution for the potential…

高能物理 - 理论 · 物理学 2010-12-15 W. Guzmán , M. Sabido , J. Socorro

The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, $\mathsf{U}(1)$ gauge theory minimally coupled to a Dirac fermion. We construct the braided…

高能物理 - 理论 · 物理学 2023-07-06 Marija Dimitrijević Ćirić , Nikola Konjik , Voja Radovanović , Richard J. Szabo

We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action which arise from minisuperspace deformation on the Einstein-Hilbert action. We…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Genly Leon , Alfredo D. Millano , Andronikos Paliathanasis

We study scalar field and string theory on non commutative q-deformed spaces. We define a product of functions on a non commutative algebra of functions resulting from the q-deformation analogue to the Moyal product for canonically non…

高能物理 - 理论 · 物理学 2023-01-10 Poula Tadros

We consider quantum electrodynamics in noncommutative spacetime by deriving a $\theta$-exact Seiberg-Witten map with fermions in the fundamental representation of the gauge group as an expansion in the coupling constant. Accordingly, we…

高能物理 - 理论 · 物理学 2015-05-18 Matti Raasakka , Anca Tureanu

We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a $\phi^4$-theory on a generic Lie algebra-type noncommutative space-time. The UV/IR mixing is…

高能物理 - 理论 · 物理学 2024-04-30 Kilian Hersent

In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an…

高能物理 - 理论 · 物理学 2012-09-28 Gaetano Fiore

We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , G. A. Moreno

A spinless covariant field $\phi$ on Minkowski spacetime $\M^{d+1}$ obeys the relation $U(a,\Lambda)\phi(x)U(a,\Lambda)^{-1}=\phi(\Lambda x+a)$ where $(a,\Lambda)$ is an element of the Poincar\'e group $\Pg$ and $U:(a,\Lambda)\to…

高能物理 - 理论 · 物理学 2011-04-04 A. P. Balachandran , A. Ibort , G. Marmo , M. Martone

We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter $\theta_{\mu\nu}$. This is realized in a noncommutative cohomological field theory. As an example, a…

高能物理 - 理论 · 物理学 2009-11-07 Tomomi Ishikawa , Shin-Ichiro Kuroki , Akifumi Sako

Following a previous work (hep-th/0410248), where a scalar field theory with a modified propagator and phi^4 interaction in 4 dimensions is constructed to be UV-finite, unitary and Lorentz invariant, we discuss in this paper general phi^n…

高能物理 - 理论 · 物理学 2010-02-04 Pei-Ming Ho , Xue-Yan Lin

We quantize non-commutative Maxwell theory canonically in the background field gauge for weak and slowly varying background fields. We determine the complete basis for expansion under such an approximation. As an application, we derive the…

高能物理 - 理论 · 物理学 2008-11-26 Ashok Das , J. Frenkel , S. H. Pereira , J. C. Taylor

We consider the 2PI Cornwall-Jackiw-Tomboulis effective action at finite temperature for a noncommutative real scalar field theory in 4 dimensions, with noncommutativity among space and time variables. By means of a Rayleig-Ritz variation,…

高能物理 - 理论 · 物理学 2013-06-12 J. M. Hernández , C. Ramírez , M. Sánchez