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We compute the one-loop Casimir energy of gravity and matter fields, obeying various boundary conditions, in 5-dimensional S^1/Z_2 and 6-dimensional T^2/Z_k orbifolds. We discuss the role of the Casimir energy in possible radius…

High Energy Physics - Phenomenology · Physics 2010-05-28 Eduardo Ponton , Erich Poppitz

We investigate a concrete realization of the Dark Dimension scenario, where a single large extra dimension is set at sub-millimeter scales. In this framework, the Casimir energy of bulk fields accounts for the observed dark energy. Working…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Tomoki Katayama , Hiroki Matsui , Yuri Michinobu , Fumiya Okamatsu , Yutaka Sakamura , Takahiro Terada

Casimir dark energy model in five-dimensional and six-dimensional spacetime including non-relativistic matter and Gauss-Bonnet term is investigated. The Casimir energy can play the role of dark energy to drive the late-time acceleration of…

High Energy Physics - Theory · Physics 2015-03-03 Pitayuth Wongjun

We study the stabilization of one spatial dimension in (p+1+1)-dimensional spacetime in the presence of $p$-dimensional brane(s), a bulk cosmological constant and the Casimir force generated by a conformally coupled scalar field. We find…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ralf Hofmann , Panagiota Kanti , Maxim Pospelov

It is well known that the Casimir effect is an excellent candidate for the stabilization of the extra dimensions. It has also been suggested that the Casimir effect in higher dimensions may be the underlying phenomenon that is responsible…

General Relativity and Quantum Cosmology · Physics 2009-07-01 R. K. Obousy , A. A. Saharian

We study the stabilization of the radion in Randall-Sundrum-1 model by the Casimir energy of a bulk gauge field. The Casimir energy is proportional to a divergent, infinite summation over the zeros of a Wronskian of Bessel functions that…

High Energy Physics - Phenomenology · Physics 2022-02-10 Naoyuki Haba , Toshifumi Yamada

Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate…

High Energy Physics - Theory · Physics 2015-03-17 Shoichi Ichinose

We discuss the role Casimir energies may play in addressing issues of moduli stabilization and dark energy. In particular, we examine a (non-supersymmetric) brane world scenario with toroidal extra dimensions in which Casimir energies of…

High Energy Physics - Theory · Physics 2009-11-18 Brian R. Greene , Janna Levin

We regard the Casimir energy of the universe as the main contribution to the cosmological constant. Using 5 dimensional models of the universe, the flat model and the warped one, we calculate Casimir energy. Introducing the new…

High Energy Physics - Theory · Physics 2015-06-05 Shoichi Ichinose

We investigate the role of Casimir energy as a mechanism for brane stability in five-dimensional models with the fifth dimension compactified on an S^1\Z_2 orbifold, which includes the Randall-Sundrum two brane model (RS1). We employ a…

High Energy Physics - Theory · Physics 2011-01-17 Richard Obousy , Gerald Cleaver

We compute (as functions of the shape and Wilson-line moduli) the one-loop Casimir energy induced by higher-dimensional supergravities compactified from 6D to 4D on 2-tori, and on some of their Z_N orbifolds. Detailed calculations are given…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Ghilencea , D. Hoover , C. P. Burgess , F. Quevedo

Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate…

High Energy Physics - Theory · Physics 2017-08-23 Shoichi Ichinose

It is well known that the Casimir energy of bulk fields induces a non-trivial potential for the compactification radius of higher-dimensional field theories. On dimensional grounds, the 1-loop potential is ~ 1/R^4. Since the 5d gauge…

High Energy Physics - Theory · Physics 2010-04-05 Gero von Gersdorff , Arthur Hebecker

Casimir energy is calculated for the 5D electromagnetism in the warped geometry. It is compared with the flat case(arXiv:0801.3064). A new regularization, called sphere lattice regularization, is taken. It is based on the minimal area…

High Energy Physics - Theory · Physics 2009-08-20 S. Ichinose

A light scalar field framework of dark energy, sometimes referred to as quintessence, introduces a fifth force between normal matter objects. Screening mechanisms, such as the chameleon model, allow the scalar field to be almost massless on…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 J. Betz , J. Manley , E. M. Wright , D. Grin , S. Singh

Casimir energy is calculated for the 5D electromagnetism and 5D scalar theory in the {\it warped} geometry. It is compared with the flat case. A new regularization, called {\it sphere lattice regularization}, is taken. In the integration…

High Energy Physics - Theory · Physics 2014-11-20 Shoichi Ichinose

Recently, it was found by Greene and Levin that the Casimir energy of certain combinations of massless and massive fields in space with extra dimensions play a crucial role in the accelerated expansion of the late-time universe and…

High Energy Physics - Theory · Physics 2010-04-28 P. Burikham , A. Chatrabhuti , P. Patcharamaneepakorn , K. Pimsamarn

We explore in detail a dilatonic scalar-tensor theory of gravity inspired by large extra dimensions, where a radion field from compact extra dimensions gives rise to quintessence in our 4-dimensional world. We show that the model can give…

Astrophysics · Physics 2009-11-10 Kimmo Kainulainen , Daniel Sunhede

One of the challenges in connecting higher dimensional theories to cosmology is stabilization of the moduli fields. We investigate the role of a Lorentz violating vector field in the context of stabilization. Specifically, we compute the…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Richard K. Obousy , Gerald Cleaver

We study the dynamics of the size of an extra-dimensional manifold stabilised by fluxes. Inspecting the potential for the 4D field associated with this size (the radion), we obtain the conditions under which it can be stabilised and show…

High Energy Physics - Theory · Physics 2010-11-19 Ignacio Navarro , Jose Santiago
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