SCALAR AND FERMION ZERO MODES ON THE THICK BRANE ARISING FROM TWO SCALAR FIELDS

2008 ◽  
Vol 23 (37) ◽  
pp. 3179-3186
Author(s):  
MUYUN DU ◽  
XIYUN DU ◽  
YUEYING XIE
Keyword(s):  
Yukawa Coupling ◽  
Scalar Fields ◽  
Zero Modes ◽  
Fermionic Fields

In this note we study scalar and fermion zero modes on the brane arising from two scalar fields. The result is that there exist normalizable massless modes of scalar fields which can be localized on the brane. While, for spin 1/2 and spin 3/2 fermions, the corresponding zero modes are non-normalizable. Thus, some mechanism such as Yukawa coupling should be introduced for the localization of these fermionic fields on the thick brane.

scholarly journals ZERO MODE OF GRAVITINO ON SCALAR FLAT THICK BRANES

2009 ◽  
Vol 24 (25) ◽  
pp. 2005-2011
Author(s):  
LI-JIE ZHANG ◽  
SHAO-FENG WU ◽  
GUO-HONG YANG
Keyword(s):  
Yukawa Coupling ◽  
Zero Mode ◽  
Fermionic Field ◽  
Zero Modes ◽  
Gravitino Field ◽  
Thick Branes

The localization of the spin-3/2 gravitino field on thick branes with a Yukawa coupling is studied in this paper. We show that, for spin-3/2 fermionic field, there exist normalizable zero modes which can be localized on the flat thick branes under certain conditions.

scholarly journals Precise calculation of the decay rate of false vacuum with multi-field bounce

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
So Chigusa ◽  
Takeo Moroi ◽  
Yutaro Shoji
Keyword(s):  
Decay Rate ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Gauge Parameter ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Loop Contribution ◽  
Zero Modes ◽  
Precise Calculation ◽  
The One

Abstract We study the decay rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum decay rate becomes complicated. We consider the one-loop contribution to the decay rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum decay rate. We also give proper treatments of gauge zero modes and renormalization.

Fermion localization on branes with non-standard kinetic terms

2018 ◽  
Vol 33 (40) ◽  
pp. 1850235 ◽  
Author(s):  
Masoumeh Moazzen Sorkhi ◽  
Esmaeil Mazani
Keyword(s):  
Scalar Field ◽  
Yukawa Coupling ◽  
Zero Mode ◽  
Scalar Fields ◽  
Coupling Constants ◽  
Warp Factor ◽  
Coupling Mechanism ◽  
Fermion Fields ◽  
Derivative Term ◽  
Fermion Localization

In this paper, by using the Yukawa coupling mechanism, we consider the fermion localization in two types of braneworld models driven by real scalar fields with non-standard dynamics. Because of the existing freedom in the form of the Yukawa coupling, we consider two coupling forms between the background scalar field and spinors where one is arising from the geometry shape of the warp factor and the other is a function of the background scalar field containing a derivative scalar-fermion coupling. With two coupling functions, it is shown that the massless zero mode of fermion fields is localized on both branes with generalized dynamic depending on the values of the coupling constants. However, there is no localized mode when the Yukawa coupling only contains a derivative term of the background scalar field. Furthermore, effects of the parameters of the models on the zero mode and fermion effective potential are addressed.

scholarly journals GRADED GEOMETRIC STRUCTURES UNDERLYING F-THEORY RELATED DEFECT THEORIES

2013 ◽  
Vol 28 (21) ◽  
pp. 1350106
Author(s):  
V. K. OIKONOMOU
Keyword(s):  
Vector Space ◽  
Dimensional Space ◽  
Composite Fiber ◽  
Fiber Bundles ◽  
Canonical Bundle ◽  
Geometric Structures ◽  
Yang Mills ◽  
Zero Modes ◽  
Fermionic Fields ◽  
Related Defect

In the context of F-theory, we study the related eight-dimensional super-Yang–Mills theory and reveal the underlying supersymmetric quantum mechanics algebra that the fermionic fields localized on the corresponding defect theory are related to. Particularly, the localized fermionic fields constitute a graded vector space, and in turn this graded space enriches the geometric structures that can be built on the initial eight-dimensional space. We construct the implied composite fiber bundles, which include the graded affine vector space and demonstrate that the composite sections of this fiber bundle are in one-to-one correspondence to the sections of the square root of the canonical bundle corresponding to the submanifold on which the zero modes are localized.

scholarly journals Spectral walls in multifield kink dynamics

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
C. Adam ◽  
K. Oles ◽  
T. Romanczukiewicz ◽  
A. Wereszczynski ◽  
W. J. Zakrzewski
Keyword(s):  
Moduli Space ◽  
Scalar Fields ◽  
Zero Modes ◽  
Soliton Dynamics ◽  
Main Factors

Abstract We show that spectral walls are common phenomena in the dynamics of kinks in (1+1) dimensions. They occur in models based on two or more scalar fields with a nonempty Bogomol’nyi-Prasad-Sommerfield (BPS) sector, hosting two zero modes, where they are one of the main factors governing the soliton dynamics. We also show that spectral walls appear as singularities of the dynamical vibrational moduli space.

scholarly journals Normal ordering normal modes

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Jarah Evslin
Keyword(s):  
Plane Waves ◽  
Recursion Formula ◽  
Normal Modes ◽  
Scalar Fields ◽  
Quantum Field ◽  
Expectation Values ◽  
Normal Ordering ◽  
Zero Modes ◽  
The One ◽  
Schrödinger Picture

AbstractIn a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing expectation values in the one-loop soliton ground state. The Hamiltonian of the theory, however, is usually normal ordered in the basis of operators which create plane waves. In this paper we find the Wick map between the two normal orderings. For concreteness, we restrict our attention to Schrodinger picture scalar fields in 1+1 dimensions, although we expect that our results readily generalize beyond this case. We find that plane wave ordered n-point functions of fields are sums of terms which factorize into j-point functions of zero modes, breather and continuum normal modes. We find a recursion formula in j and, for products of fields at the same point, we solve the recursion formula at all j.

scholarly journals Over-spinning Kerr–Sen black holes with test fields

2019 ◽  
Vol 28 (02) ◽  
pp. 1950044 ◽  
Author(s):  
Koray Düztaş
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gordon Equation ◽  
Naked Singularity ◽  
Weak Form ◽  
Scalar Fields ◽  
Cosmic Censorship ◽  
Extremal Black Hole ◽  
Klein Gordon ◽  
Fermionic Fields

In this work, we investigate validity of the weak form of the cosmic censorship conjecture in the interaction of Kerr–Sen black holes with neutral test fields. Previous studies of the Klein–Gordon equation on Kerr–Sen background imply that superradiance occurs for scalar fields. We show that scalar fields can overspin a nearly extremal black hole into a naked singularity, but the modes that could overspin an extremal black hole are not absorbed due to superradiance. From Kerr analogy one can naively expect superradiance to be absent for fermionic fields. In such a case overspinning becomes generic and also applies to extremal Kerr–Sen black holes. This robust violation of cosmic censorship cannot be fixed by backreaction effects which are ignored in this work. These results are analogous to the Kerr case.

scholarly journals Exactly solvable single-trace four point correlators in χCFT4

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Sergey Derkachov ◽  
Enrico Olivucci
Keyword(s):  
Scaling Limit ◽  
Scalar Fields ◽  
Feynman Integral ◽  
Square Lattice ◽  
Honeycomb Lattice ◽  
Recent Letter ◽  
Conformal Field ◽  
Exactly Solvable ◽  
Fermionic Fields ◽  
Single Trace

Abstract In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed $$ \mathcal{N} $$ N = 4 SYM theory. In the planar (t’Hooft) limit, each of such correlators is described by a single Feynman integral having the bulk topology of a square lattice “fishnet” and/or of an honeycomb lattice of Yukawa vertices. The computation of this class of Feynmann integrals at any loop is achieved by means of an exactly-solvable spin chain magnet with SO(1, 5) symmetry. In this paper we explain in detail the solution of the magnet model as presented in our recent letter and we obtain a general formula for the representation of the Feynman integrals over the spectrum of the separated variables of the magnet, for any number of scalar and fermionic fields in the corresponding correlator. For the particular choice of scalar fields only, our formula reproduces the conjecture of B. Basso and L. Dixon for the fishnet integrals.

scholarly journals Majorana zero modes and their bosonization

2020 ◽  
Vol 102 (15) ◽  
Author(s):  
Victor Chua ◽  
Katharina Laubscher ◽  
Jelena Klinovaja ◽  
Daniel Loss
Keyword(s):  
Zero Modes
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