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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Preface<br />

xix<br />

cuts of higher-order graphs. These methods have been applied only<br />

in a few c<strong>as</strong>es of direct interest to particle <strong>as</strong>trophysics where the results<br />

seem to agree with those from kinetic theory in the limits which<br />

have been relevant in practice. A systematic <strong>for</strong>mulation of <strong>as</strong>trophysically<br />

relevant particle dispersion, emission, and absorption processes<br />

in the framework of FTD field theory is a project <strong>for</strong> another author.<br />

Tanguy Altherr had begun to take up this challenge with his collaborators<br />

in a series of papers. However, his premature death in a tragic<br />

climbing accident on 14 July 1994 h<strong>as</strong> put an abrupt end to this line<br />

of research.<br />

My presentation of dispersion, emission, and absorption processes<br />

is b<strong>as</strong>ed entirely on the old-f<strong>as</strong>hioned tools of kinetic theory where, say,<br />

an axion emission rate is given by an integral of a squared matrix element<br />

over the thermally occupied ph<strong>as</strong>e space of the reaction partners.<br />

Usually this approach is not problematic, but it does require some tinkering<br />

when it comes to the problem of electromagnetic screening or<br />

other collective effects. I would not be surprised if subtle but important<br />

collective effects had been overlooked in some c<strong>as</strong>es.<br />

A simple kinetic approach is not adequate in the hot nuclear medium<br />

characteristic <strong>for</strong> a young SN core. However, in practice quantities like<br />

the neutrino opacities and axion emissivities have been calculated <strong>as</strong><br />

if the medium constituents were freely propagating particles. At le<strong>as</strong>t<br />

<strong>for</strong> the dominant axial-vector current interactions this approach is not<br />

consistent <strong>as</strong> one needs to <strong>as</strong>sume that the spin-fluctuation rate is small<br />

compared with typical thermal energies while a naive calculation yields<br />

a result much larger than T . Realistically, it probably saturates at<br />

O(T ), independently of details of the <strong>as</strong>sumed interaction potential.<br />

This conjecture appears to be supported by our recent “calibration” of<br />

SN opacities from the SN 1987A neutrino signal. However, a calculation<br />

of either neutrino opacities or axion emissivities on the b<strong>as</strong>is of first<br />

principles is not available at the present time because FTD effects <strong>as</strong><br />

well <strong>as</strong> nuclear-physics complications dominate the problem.<br />

⋄<br />

It h<strong>as</strong> been challenging to hammer the multifarious and intertwined<br />

<strong>as</strong>pects of my topic into the linear shape required by the nature of<br />

a book. Chapters 1−6 are mainly devoted to the stellar energy-loss<br />

argument. It is introduced in Chapter 1 where its general <strong>as</strong>pects are<br />

developed on the b<strong>as</strong>is of the stellar structure equations. Chapter 2<br />

establishes the observational limits on those stellar evolutionary time

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