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In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

Here is answered a related question, :

Synchrotron radiation from massless charge

 

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided $E^2$ is very much larger than $eH$, the maximum in the spectrum is shown to be at $(h/{2π})ω=Ε/3$, and the average photon energy is $4Ε/9$. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

This is in contradiction with a previous paper in Arxiv which claims that massless particles do not radiate.

It seems that massless charged quarks are not a simple problem for cosmology, as this quite esoteric talk at CERN demonstrates. "1. A charged massless quark in a magnetic field - CERN Indico" .

The calculations are relevant for cosmological models and one expects that more results will be found in the future, as it seems not to be a trivial question for energies before electroweak symmetry breaking.

I expect that an analogous study could be made for electric fields, but magnetic fields are more useful in the cosmological plasma states, as it is known from the studies of the sun that plasma can carry magnetic fields.

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

Here is answered a related question, :

Synchrotron radiation from massless charge

 

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided $E^2$ is very much larger than $eH$, the maximum in the spectrum is shown to be at $(h/{2π})ω=Ε/3$, and the average photon energy is $4Ε/9$. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

This is in contradiction with a previous paper in Arxiv which claims that massless particles do not radiate.

It seems that massless charged quarks are not a simple problem for cosmology, as this quite esoteric talk at CERN demonstrates. "1. A charged massless quark in a magnetic field - CERN Indico" .

The calculations are relevant for cosmological models and one expects that more results will be found in the future, as it seems not to be a trivial question for energies before electroweak symmetry breaking.

I expect that an analogous study could be made for electric fields, but magnetic fields are more useful in the cosmological plasma states, as it is known from the studies of the sun that plasma can carry magnetic fields.

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

Here is answered a related question, :

Synchrotron radiation from massless charge

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided $E^2$ is very much larger than $eH$, the maximum in the spectrum is shown to be at $(h/{2π})ω=Ε/3$, and the average photon energy is $4Ε/9$. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

This is in contradiction with a previous paper in Arxiv which claims that massless particles do not radiate.

It seems that massless charged quarks are not a simple problem for cosmology, as this quite esoteric talk at CERN demonstrates. "1. A charged massless quark in a magnetic field - CERN Indico" .

The calculations are relevant for cosmological models and one expects that more results will be found in the future, as it seems not to be a trivial question for energies before electroweak symmetry breaking.

I expect that an analogous study could be made for electric fields, but magnetic fields are more useful in the cosmological plasma states, as it is known from the studies of the sun that plasma can carry magnetic fields.

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anna v
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  • 642

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

I will continueHere is answered a related question, :

Synchrotron radiation from massless charge

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided $E^2$ is very much larger than $eH$, the maximum in the spectrum is shown to be at $(h/{2π})ω=Ε/3$, and the average photon energy is $4Ε/9$. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

This is in contradiction with this answer latera previous paper in Arxiv which claims that massless particles do not radiate.( put this

It seems that massless charged quarks are not a simple problem for cosmology, as this quite esoteric talk at CERN demonstrates. "1. A charged massless quark in a magnetic field - CERN Indico" .

The calculations are relevant for cosmological models and one expects that more results will be found in so people start thinking on these lines)the future, as it seems not to be a trivial question for energies before electroweak symmetry breaking.

I expect that an analogous study could be made for electric fields, but magnetic fields are more useful in the cosmological plasma states, as it is known from the studies of the sun that plasma can carry magnetic fields.

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

I will continue with this answer later.( put this in so people start thinking on these lines)

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

Here is answered a related question, :

Synchrotron radiation from massless charge

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided $E^2$ is very much larger than $eH$, the maximum in the spectrum is shown to be at $(h/{2π})ω=Ε/3$, and the average photon energy is $4Ε/9$. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

This is in contradiction with a previous paper in Arxiv which claims that massless particles do not radiate.

It seems that massless charged quarks are not a simple problem for cosmology, as this quite esoteric talk at CERN demonstrates. "1. A charged massless quark in a magnetic field - CERN Indico" .

The calculations are relevant for cosmological models and one expects that more results will be found in the future, as it seems not to be a trivial question for energies before electroweak symmetry breaking.

I expect that an analogous study could be made for electric fields, but magnetic fields are more useful in the cosmological plasma states, as it is known from the studies of the sun that plasma can carry magnetic fields.

Source Link
anna v
  • 235.5k
  • 20
  • 248
  • 642

In the linked question, the "fact" that in cosmology massless charged particles are thrown around in calculations of the primordial plasma seems to have escaped notice. Cosmology studies assume that before symmetry breaking gauge bosons and the fermions of the standard model table are massless.

At cosmological times, when quarks are massless, there will still be electric and magnetic fields built up by the charges of the quarks. This Zurich diploma thesis does some calculations.

I will continue with this answer later.( put this in so people start thinking on these lines)