Abstract:
When lower-dimensional self-sustained objects encounter higher-dimensional ones, they can be dissolved and absorbed. We delve into this intriguing erasure phenomenon resulting from topological defects’ interaction. This general phenomenon has significant implications in cosmology and fundamental physics, which we discuss in the first part of the thesis.
We start with the erasure of onedimensional objects. One key finding is that vortices or strings of all kinds, such as cosmic strings, QCD flux tubes, or fundamental strings, undergo erasure when encountering defects like domain walls, solitonic structures, or D-branes that deconfine their fluxes. Consequently, a new mechanism of cosmic string break-up emerges.
We explain the erasure phenomenon by the loss of coherence in the annihilation process. Additionally, for the case of point-like objects immersed in three-dimensional objects, we explore the interactions between magnetic monopoles and domain walls formed by the same order parameter within an SU(2) gauge theory. As previously suggested, a collision between monopoles and a domain wall leads to their erasure. The monopoles unwind and spread their magnetic charge over the wall, with the erasure process consistently occurring due to the loss of coherence in the collision and the entropy suppression on the recreation of a monopole. This erasure phenomenon has significant cosmological implications, particularly in post-inflationary phase transitions. Furthermore, it sheds light on the nature of gauge theories with coexisting phases, such as confining and Higgs phases.
The erasure phenomenon has significant imprints in cosmology and astrophysics as well. In particular, a new mechanism of cosmic string break-up emerges. Moreover, the monopole erasure may serve as a solution to the cosmological monopole problem. In another investigation of interactions of topological defects, we examine the annihilation of a pair of ’t Hooft-Polyakov monopoles confined by a string. We focus on scenarios where the scales of monopoles and strings are comparable. The emitted GW spectrum agrees with previous calculations for wavelengths longer than the system width and before the collision. However, in head-on collisions, the monopoles are never re-created. Instead, the system decays into waves of Higgs and gauge fields, and the recreation of a monopole pair becomes highly improbable due to the loss of coherence during the annihilation process. This behavior is expected to be analogous in systems involving heavy quarks connected by a QCD string. Thus, in a similar regime, the string does not re-stretch after the initial collapse, but the system hadronizes and decays into numerous mesons and glueballs.
In the second part of the thesis, we changed our subject of study to another self-sustained objects. These objects attain the maximal entropy permitted by unitarity. They are called saturons, as they saturate unitarity and entropy bounds. Interestingly enough, they share many properties with black holes, for which they are considered exceptional. For instance, the time evolution and information-processing properties of BHs are also found in saturons. Thus, we suggest a “Black hole-Saturon” correspondence. Our work confirms this connection within a renormalizable SU(N) invariant theory. The theory’s spectrum contains a tower of non-topological defects of the Q-ball type, or vacuum bubbles, representing bound states of SU(N) Goldstones. Surprisingly, despite the absence of gravity, these saturated bound states exhibit striking similarities to BHs, displaying an information horizon, an entropy governed by the Bekenstein-Hawking formula, thermal evaporation at a rate corresponding to their inverse radius, and an information retrieval time equivalent to Page’s time. The BH-Saturon correspondence has profound implications for BH physics and saturated systems, both in fundamental theory and observational aspects.
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