scholarly journals Quartic propagators, negative norms, and the physical spectrum

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
John F. Donoghue
Keyword(s):  

2018 ◽  
Vol 175 ◽  
pp. 04001
Author(s):  
Michael Creutz

Using the Sigma model to explore the lowest order pseudo-scalar spectrum with SU(3) breaking, this talk considers an additional exact “taste” symmetry to mimic species doubling. Rooting replicas of a valid approach such as Wilson fermions reproduces the desired physical spectrum. In contrast, extra symmetries of the rooted staggered approach leave spurious states and a flavor dependent taste multiplicity.



1985 ◽  
Vol 258 ◽  
pp. 230-248 ◽  
Author(s):  
W. Buchmüller ◽  
M.G. Schmidt


1992 ◽  
Vol 07 (39) ◽  
pp. 3639-3646 ◽  
Author(s):  
J.R. BIEŃKOWSKA ◽  
H. LU

In this note we investigate the generalized critical N=2 superstrings in (1, 2p) spacetime signature. We calculate the four-point functions for the tachyon operators of these theories. In contrast to the usual N=2 superstring in (2, 2) space-time, the four-point functions do not vanish. The exchanged particles of the four-point function are included in the physical spectrum of the corresponding theory and have vanishing fermion charge.



2013 ◽  
Vol 28 (10) ◽  
pp. 1350034 ◽  
Author(s):  
M. A. L. CAPRI ◽  
D. DUDAL ◽  
M. S. GUIMARAES ◽  
L. F. PALHARES ◽  
S. P. SORELLA

We study a toy model for an interacting scalar field theory in which the fundamental excitations are confined in the sense of having unphysical, positivity-violating propagators, a fact tracing back to a decomposition of these in propagators with complex conjugate mass poles (the so-called i-particles). Similar two-point functions show up in certain approaches to gluon or quark propagators in Yang–Mills gauge theories. We investigate the spectrum of our model and show that suitable composite operators may be constructed having a well-defined Källén–Lehmann spectral representation, thus allowing for a particle interpretation. These physical excitations would correspond to the "mesons" of the model, the latter being bound states of two unphysical i-particles. The meson mass is explicitly estimated from the pole emerging in a resummed class of diagrams. The main purpose of this paper is thus to explicitly verify how a real mass pole can and does emerge out of constituent i-particles that have complex masses.



1994 ◽  
Vol 09 (23) ◽  
pp. 4195-4210 ◽  
Author(s):  
ALEKSANDAR MIKOVIĆ

We show that all important features of 2D gravity coupled to c < 1 matter can be easily understood from the canonical quantization approach à la Dirac. Furthermore, we construct a canonical transformation which maps the theory into a free field form, i.e. the constraints become free field Virasoro generators with background charges. This implies the gauge independence of the David–Distler–Kawai results, and also proves the free field assumption which was used for obtaining the spectrum of the theory in the conformal gauge. A discussion of the unitarity of the physical spectrum is presented and we point out that the scalar products of the discrete states are not well defined in the standard Fock space framework.



1995 ◽  
Vol 10 (02) ◽  
pp. 173-178 ◽  
Author(s):  
NELSON R. F. BRAGA ◽  
CLOVIS WOTZASEK

The chiral boson actions of Floreanini and Jackiw (FJ), and of McClain, Wu and Yu (MWY) have recently been shown to be different representations of the same chiral boson theory. MWY displays manifest covariance and also a (gauge) symmetry that is hidden in the FJ side, which, on the other hand, displays the physical spectrum in a simpler manner. We make use of the manifest covariance of the MWY chiral boson representation to couple it to background gravity showing explicitly the equivalence with the previous results for the FJ representation.



2010 ◽  
Vol 25 (03) ◽  
pp. 167-177 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA

We consider a locally scale invariant extension of the Standard Model of particle physics and argue that it fits both the particle and cosmological observations. The model is scale invariant both classically and quantum mechanically. The scale invariance is broken (or hidden) by a mechanism which we refer to as cosmological symmetry breaking. This produces all the dimensionful parameters in the theory. The cosmological constant or dark energy is a prediction of the theory and can be calculated systematically order by order in perturbation theory. It is expected to be finite at all orders. The model does not suffer from the hierarchy problem due to the absence of scalar particles, including the Higgs, from the physical spectrum.



2013 ◽  
Vol 295 ◽  
pp. 145-149 ◽  
Author(s):  
Sobia Asghar ◽  
Sajid Qamar


1999 ◽  
Vol 59 (6) ◽  
Author(s):  
Thomas Appelquist ◽  
Francesco Sannino


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