scholarly journals DIRAC VARIABLES AND ZERO MODES OF GAUSS CONSTRAINT IN FINITE-VOLUME TWO-DIMENSIONAL QED

1999 ◽  
Vol 14 (22) ◽  
pp. 3531-3542 ◽  
Author(s):  
S. GOGILIDZE ◽  
NEVENA ILIEVA ◽  
V. N. PERVUSHIN
Keyword(s):  
Finite Volume ◽  
Ground State ◽  
Zero Mode ◽  
Collective Excitations ◽  
Two Dimensional ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Gauge Transformations ◽  
Zero Modes ◽  
Nontrivial Topology

The finite-volume QED 1+1 is formulated in terms of Dirac variables by an explicit solution of the Gauss constraint with possible nontrivial boundary conditions taken into account. The intrinsic nontrivial topology of the gauge group is thus revealed together with its zero-mode residual dynamics. Topologically nontrivial gauge transformations generate collective excitations of the gauge field above Coleman's ground state, that are completely decoupled from local dynamics, the latter being equivalent to a free massive scalar field theory.

scholarly journals CHIRAL ZERO MODES ON VORTEX-TYPE INTERSECTING HETEROTIC FIVE-BRANES

2012 ◽  
Vol 27 (12) ◽  
pp. 1250072 ◽  
Author(s):  
MASAYA YATA
Keyword(s):  
Dirac Equation ◽  
Zero Mode ◽  
The Other ◽  
Two Dimensional ◽  
Complete Spectrum ◽  
Type Solution ◽  
Heterotic String Theory ◽  
Zero Modes ◽  
Brane Solution ◽  
Opposite Chirality

We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E8×E8 heterotic string theory to search for localized chiral zero modes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zero modes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zero modes, one of which has opposite chirality to the other two. This agrees with the result previously obtained in the domain-wall type solution, supporting the claim that there exists one net chiral zero mode localized on the heterotic five-brane system.

scholarly journals Ground state for a massive scalar field in the BTZ spacetime with Robin boundary conditions

2017 ◽  
Vol 96 (10) ◽  
Author(s):  
Francesco Bussola ◽  
Claudio Dappiaggi ◽  
Hugo R. C. Ferreira ◽  
Igor Khavkine
Keyword(s):  
Scalar Field ◽  
Boundary Conditions ◽  
Ground State ◽  
Robin Boundary Conditions ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Robin Boundary

scholarly journals Modular symmetry and zeros in magnetic compactifications

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Yoshiyuki Tatsuta
Keyword(s):  
Boundary Conditions ◽  
Zero Mode ◽  
Index Theorem ◽  
Homogeneous Magnetic Field ◽  
Wave Functions ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Zero Modes ◽  
Modular Transformation ◽  
Before And After

Abstract We discuss the modular symmetry and zeros of zero-mode wave functions on two-dimensional torus T2 and toroidal orbifolds T2/ℤN (N = 2, 3, 4, 6) with a background homogeneous magnetic field. As is well-known, magnetic flux contributes to the index in the Atiyah-Singer index theorem. The zeros in magnetic compactifications therefore play an important role, as investigated in a series of recent papers. Focusing on the zeros and their positions, we study what type of boundary conditions must be satisfied by the zero modes after the modular transformation. The consideration in this paper justifies that the boundary conditions are common before and after the modular transformation.

scholarly journals FERMIONIC ZERO MODES IN SELF-DUAL VORTEX BACKGROUND

2005 ◽  
Vol 20 (39) ◽  
pp. 3045-3053 ◽  
Author(s):  
YONGQIANG WANG ◽  
TIEYAN SI ◽  
YUXIAO LIU ◽  
YISHI DUAN
Keyword(s):  
Phase Shift ◽  
Zero Mode ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Yang Mills ◽  
Zero Modes ◽  
Extra Space ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Unified Description

We study fermionic zero modes in the background of self-dual vortex on a two-dimensional non-compact extra space in 5+1 dimensions. In the Abelian Higgs model, we present a unified description of the topological and non-topological self-dual vortex on the extra two dimensions. Based on it, we study the localization of bulk fermions on a brane with the inclusion of Yang–Mills and gravity backgrounds in six dimensions. Through two simple cases, it is shown that the vortex background contributes a phase shift to the fermionic zero mode, this phase is actually origin from the Aharonov–Bohm effect.

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