<p>We describe a phase transition of infrared radiation, driven by quantum fluctuations, which takes place at the boundary of (the conformal diagram of) Minkowski spacetime. Specifically, we consider a family of states interpolating between the vacuum and the Kraus-Polley-Reents infravacuum. A state from this family can be imagined as a static source emitting flashes of infrared radiation in distant past. The flashes are in suitable squeezed states and the time intervals between them are controlled by a certain parameter <i>r</i>. For <i>r</i> &lt; 0 the states are lightcone normal, thus physically indistinguishable from local excitations of the vacuum. They suffer from the usual infrared problems such as disintegration of the Bloch-Nordsieck <i>S</i>-matrix and rotational symmetry breaking by soft photon clouds. However, for <i>r</i> &gt; 0 lightcone normality breaks down, the <i>S</i>-matrix is stabilized by the Kraus-Polley-Reents mechanism and the rotational symmetry is restored. We interpret these two situations as ordered (<i>r</i> &lt; 0) and disordered (<i>r</i> &gt; 0) phase of infrared radiation, and show that they can be distinguished by asymptotic fluctuations of the fields. We also determine the singular behaviour of some <i>S</i>-matrix elements near the critical point <i>r</i> = 0.</p>

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Quantum phase transition of infrared radiation

  • Bartosz Biadasiewicz,
  • Wojciech Dybalski

摘要

We describe a phase transition of infrared radiation, driven by quantum fluctuations, which takes place at the boundary of (the conformal diagram of) Minkowski spacetime. Specifically, we consider a family of states interpolating between the vacuum and the Kraus-Polley-Reents infravacuum. A state from this family can be imagined as a static source emitting flashes of infrared radiation in distant past. The flashes are in suitable squeezed states and the time intervals between them are controlled by a certain parameter r. For r < 0 the states are lightcone normal, thus physically indistinguishable from local excitations of the vacuum. They suffer from the usual infrared problems such as disintegration of the Bloch-Nordsieck S-matrix and rotational symmetry breaking by soft photon clouds. However, for r > 0 lightcone normality breaks down, the S-matrix is stabilized by the Kraus-Polley-Reents mechanism and the rotational symmetry is restored. We interpret these two situations as ordered (r < 0) and disordered (r > 0) phase of infrared radiation, and show that they can be distinguished by asymptotic fluctuations of the fields. We also determine the singular behaviour of some S-matrix elements near the critical point r = 0.