QED effective action in Krein space quantization

Refaei, Abdollah; Takook, M. V.

doi:10.1016/j.physletb.2011.09.013

Cited by 26 publications

(23 citation statements)

References 19 publications

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“…9 It is shown that in Krein space method, the UV divergences of the Green function are removed. 2,[10][11][12][13][14][15] Interestingly, by considering the quantum metric fluctuation, the light-cone singularity can be also handled. 2,12,13,15,16 The propagator of Krein regularization is…”

Section: Introductionmentioning

confidence: 99%

Krein regularization of quantum chromodynamics

Forghan

Tanhayi

2015

Mod. Phys. Lett. A

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In this paper, we use Krein regularization to study certain standard computations in quantum chromodynamics (QCD). In this method, the auxiliary modes -those with negative norms -are employed to calculate the quark self-energy, vacuum polarizations and vertex functions. We explicitly show that after making use of these modes and by taking into account the quantum metric fluctuation for the problems at hand, the conventional results can indeed be reproduced; but with the advantage of finite answers which require fewer mathematical procedures. An obvious merit of this approach is that the theory is naturally renormalized. The ultraviolet (UV) divergences disappear due to the presence of negative norm state, similar to the Pauli-Villars regularization method. We compare the answers of Krein regularization with the results of calculations which have been done in Hilbert space.

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Section: Introductionmentioning

confidence: 99%

Krein regularization of quantum chromodynamics

Forghan

Tanhayi

2015

Mod. Phys. Lett. A

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“…Consideration of the negative norm states was first studied by Dirac in 1942 [12]; Gupta and Bleuler in 1950 used such states to remove the infrared divergence in QED [13]. Carrying out the quantization in Krein space has followed in some papers: the vacuum energy vanishes and an infinite term does not appear in the calculation of the expectation value of T μν [14]; in the interaction QFT this method automatically removes the singular behaviors (ultraviolet) of Green's functions [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Power spectrum with auxiliary fields in de Sitter space

2014

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We use the auxiliary fields and (excited-) de Sitter solutions to study the standard power spectrum of primordial fluctuations of a scalar field in the early universe. The auxiliary fields are the negative norm solutions of the field equation and as is shown, with a fixed boundary condition, utilizing these states results in a finite power spectrum without any infinity. The power spectrum is determined by the de Sitter solutions up to some corrections and the space-time symmetry is not broken in this point of view. The modulation to the power spectrum is of order ( H ) 2 , where H is the Hubble parameter and is the energy scale, e.g., the Planck scale.

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“…However, it has been shown that quantization in Krein space removes all ultraviolet divergences of QFT except the light cone singularity [1,[7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%