Particle Correlation in Quantum Field Theory

Key words Quantum field theory specific calculations, polarization correlations, entanglement and Bell's inequality, applications to QED, electroweak theory and strings This paper provides explicit and detailed quantum field theory (QFT) computations of polarizations correlations of emerging particles in several processes in QED, Electroweak Theory, and even in particle productions from strings, and hence are based on dynamical theries. The novel properties observed in the computations of such polarizations correlations, as predicted by QFT, is that they depend on the speed of the colliding particles, and, in some cases, even on coupling parameters ratios as well as on mass ratios of the underlying theory. These investigations clearly show that arguments based simply on combining spins to generate probabilities of such polarization correlations are not reliable. The novel properties obtained, with details of derivations provided here, hopefully would call for experiments on polarizations correlations which would monitor speeds of colliding particles, and, would, in turn, lead to new tests of the fundamental interactions of QFT such as of QED and of the Electroweak Theory.

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“…For a string of total charge Q, this generates a current density [33] J μ (x) with structure (x = (t, r, z))…”

Section: Pair Productions From Stringsmentioning

confidence: 99%

Quantum field theory analysis of polarizations correlations, entanglement and Bell's inequality: explicit processes

Yongram

Manoukian

2012

Fortschritte der Physik

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“…Now we consider the process, γγ → e + e − , with linear polarization of initial photons. The photon polarization vector e j is given by (j = 1, 2) e j = cos φ j e (1) + sin φ j e (2) (13…”

Section: Initially Linearly Polarized Photonsmentioning

confidence: 99%

“…The angle χ 1 measured relative to the z-axis, denotes the orientation of spin of one of the emerging positron may make. The unit vectors e (1) and e (2) are in x-and y-axis, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…There have been many investigations over the years of particles's polarizations correlations [1,2,3,4,5] in the light of Bell's inequality, and Bell-like experiments have been proposed recently in high energy physics context [6,7,8,9,10,11,12]. We have been interested in studying joint polarization correlation probabilities of particles produced by initially polarized as well as unpolarized particles in fundamental processes of quantum electrodynamics (QED) and the electro-weak theory [13,14,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

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Spin Correlations in e + e − Pair Creation by Two-Photons and Entanglement in QED

Yongram

2010

Int J Theor Phys

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Spin correlations of e + e − pair productions of two colliding photons are investigated and explicit expressions for their corresponding probabilities are derived and found to be energy (speed) dependent, for initially linearly and circularly polarized photons, different from those obtained by simply combining the spins of the relevant particles, for initially polarized photons. These expressions also depend on the angles of spin of e + (and/or of e − ), for initially linearly polarized photons, but not for circularly polarized photons, as a function of the energy. It is remarkable that these explicit results obtained from quantum field theory show a clear violation of Bell's inequality of Local Hidden Variables theories at all energies beyond that of the threshold one for particle production, in support of quantum field theory in the relativistic regime. We hope that our explicit expression will lead to experiments, of the type described in the bulk of this paper, which can monitor energy (and speed) in polarization correlation experiments.

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“…Detailed studies of the angular correlation of two mono-energetic particles produced in several fundamental processes in quantum field theory were given in Ref. [3] ± ± from here on which will be referred as Ref.…”

Section: Introductionmentioning

confidence: 99%

Particle Correlation in Quantum Field Theory. II

Manoukian

Sattayatham

1998

Fortschr. Phys.

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This is the second and last instalment of the investigation of particle correlation in quantum field theory for fundamental processes with two‐mono‐energetic particle productions. The angular correlation is defined as the average (epectation value) of the cosine of the angle between the momenta of the two outgoing particles. A positive correlation indicates, in a statistical sense, that the particles tend to travel in the same directions (as in beam formation) while a negative one that they tend to travel in opposing directions. The angular correlation of γγ produced in pair annihilation of charged particles in scalar quantum electrodynamics, scalar‐pair production by charged and neutral Nambu strings, as well as e+e— pair‐production by a Neutral Nambu string are studied in detail.

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Particle Correlation in Quantum Field Theory

Cited by 6 publications

References 20 publications

Quantum field theory analysis of polarizations correlations, entanglement and Bell's inequality: explicit processes

Quantum field theory analysis of polarizations correlations, entanglement and Bell's inequality: explicit processes

Spin Correlations in e + e − Pair Creation by Two-Photons and Entanglement in QED

Particle Correlation in Quantum Field Theory. II

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