scholarly journals Does emergent scenario in Hořava–Lifshitz gravity demand a ghost field?

2020 ◽  
Vol 30 ◽  
pp. 100740
Author(s):  
Akash Bose ◽  
Subenoy Chakraborty
2009 ◽  
Vol 23 (14) ◽  
pp. 3159-3177
Author(s):  
CARLOS E. REPETTO ◽  
OSCAR P. ZANDRON

By using the Hubbard [Formula: see text]-operators as field variables along with the supersymmetric version of the Faddeev–Jackiw symplectic formalism, a family of first-order constrained Lagrangians for the t-J model is found. In order to satisfy the Hubbard [Formula: see text]-operator commutation rules satisfying the graded algebra spl(2,1), the number and kind of constraints that must be included in a classical first-order Lagrangian formalism for this model are presented. The model is also analyzed via path-integral formalism, where the correlation-generating functional and the effective Lagrangian are constructed. In this context, the introduction of a proper ghost field is needed to render the model renormalizable. The perturbative Lagrangian formalism is developed and it is shown how propagators and vertices can be renormalized to each order. In particular, the renormalized ferromagnetic magnon propagator arising in the present formalism is discussed. As an example, the thermal softening of the magnon frequency is computed.


2009 ◽  
Vol 23 (04) ◽  
pp. 493-519
Author(s):  
O. S. ZANDRON

The present work treats the role of ghost fields in the renormalization procedure of the Lagrangian perturbative formalism of the t–J model. We show that by introducing proper ghost field variables, the propagators and vertices can be renormalized to each order. In particular, the renormalized ferromagnetic magnon propagator coming from our previous Lagrangian formalism is studied in detail, and it is shown how the thermal softening of the magnon frequency is predicted by the model. The antiferromagnetic case is also analyzed, and the results are confronted with the previous one obtained by means of the spin-polaron theories.


Author(s):  
Peter Meuris ◽  
Wim Schoenmaker ◽  
Wim Magnus ◽  
Bert Maleszka
Keyword(s):  

1974 ◽  
Vol 10 (10) ◽  
pp. 3303-3306 ◽  
Author(s):  
Debojit Barua ◽  
Suraj N. Gupta

2008 ◽  
Vol 23 (06) ◽  
pp. 881-893 ◽  
Author(s):  
MAXIM POSPELOV

We present several solutions for the five-dimensional gravity models in the presence of bulk ghosts and tachyons to argue that these "troublesome" fields can be a useful model-building tool. The ghost-like signature of the kinetic term for a bulk scalar creates a minimum in the scale factor, removing the necessity for a negative tension brane in models with the compactified fifth dimension. It is shown that the model with the positive tension branes and a ghost field in the bulk leads to the radion stabilization. The bulk scalar with the variable sign kinetic term can be used to model both positive and negative tension branes of a finite width in the compact dimension. Finally, we present several ghost and tachyon field configurations in the bulk that lead to the localization of gravity in four dimensions, including one solution with the Gaussian profile for the metric, gμν(y) = ημν exp {-αy2}, which leads to a stronger localization of gravity than the Randall–Sundrum model.


2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Sourav Dutta ◽  
Sudeshna Mukerji ◽  
Subenoy Chakraborty

The present work is an attempt for emergent universe scenario with modified Chaplygin gas. The universe is chosen as spatially flat FRW space-time with modified Chaplygin gas as the only cosmic substratum. It is found that emergent scenario is possible for some specific (unrealistic) choice of the parameters in the equation of state for modified Chaplygin gas.


2012 ◽  
Vol 27 (33) ◽  
pp. 1250189 ◽  
Author(s):  
PRABIR RUDRA

In this work we have investigated the emergent scenario of the Universe described by loop quantum cosmology model, DGP brane model and Kaluza–Klein cosmology. Scalar field along with barotropic fluid as normal matter is considered as the matter content of the Universe. In loop quantum cosmology it is found that the emergent scenario is realized with the imposition of some conditions on the value of the density of normal matter in case of normal and phantom scalar field. This is a surprising result indeed considering the fact that scalar field is the dominating matter component! In case of tachyonic field, emergent scenario is realized with some constraints on the value of ρ1 for both normal and phantom tachyon. In case of DGP brane-world realization of an emergent scenario is possible almost unconditionally for normal and phantom fields. Plots and table have been generated to testify this fact. In case of tachyonic field emergent scenario is realized with some constraints on [Formula: see text]. In Kaluza–Klein cosmology emergent scenario is possible only for a closed Universe in case of normal and phantom scalar field. For a tachyonic field, realization of emergent Universe is possible for all models (closed, open and flat).


1988 ◽  
Vol 03 (13) ◽  
pp. 1277-1283
Author(s):  
Y.S. MYUNG

From Ward-Takahashi identities and full propagators, we obtain a massive Proca field Uμ which has the positive norm state. There also exists a massless physical scalar field H which turns out to be the positive norm state only for 4e2>1. It is further shown that a dipole ghost field D and auxiliary field B, as quartet members, belong to the zero norm states.


2005 ◽  
Vol 2005 (01) ◽  
pp. 005-005 ◽  
Author(s):  
Yuxiao Liu ◽  
Lijie Zhang ◽  
Jirong Ren
Keyword(s):  

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