Submissions from Rene R. P. Verburg
 [1] faKiv:2104.08493 [pdf]

On the mapping between quantum propagators and highenergy effective theoriesComments: 11 pages, 2 figures
We investigate the mapping between quantum propagators and highenergy effective theories in $(2+1)$ dimensions. In particular, we study the map between the momentum and momentum square of the lowenergy effective theory, which is encoded in terms of the momentum and momentum square of the propagators in the highenergy effective theory. We also study the map between the momentum and momentum square of the highenergy effective theory, which is encoded in terms of the momentum and momentum square of the propagators in the lowenergy effective theory. We show that, in the case of lowenergy effective theories, the map between the momentum and momentum square can be written as a map between the momentum and momentum square of the lowenergy effective theory. We also show that, in terms of the momentum and momentum square, the map between the momentum and momentum square of the highenergy effective theory can be written as a map between the momentum and momentum square of the lowenergy effective theory.
 [2] faKiv:2104.08554 [pdf]

A DoItYourself String Theory Approach to TheoryComments: 47 pages, 9 figures
We demonstrate that it is possible to construct a nonperturbative approach to the theory of a DoItYourself (DYI) string in terms of the Higgs mechanism in the initial conditions. For the first time, we give explicit expressions for the constraint functions of the dynamical expansion of the theory in the presence of a fundamental tension. This leads us to a binding of the phonon diagram of the DYI theory on a pureMinkowski space. We analyze the behavior of the numerical solutions of the constraints and show that the equations of motion of the theory are exactly the same as those of a standard sizetheorem of the standard model.
 [3] faKiv:2104.08679 [pdf]

Quantum mechanics with the massless scalar field and its timereversal relationComments: 18 pages, 3 figures, LaTeX
We study the quantum mechanics with the massless scalar field in the framework of the minimal model of the classical Schr\"odinger theory. We show that the relativistic timereversal relation is the classical Schr\"odinger relation with the massless scalar field. This relation does not depend on the existence of the scalar field or on the timereversal relation. We also show that the relativistic timereversal relation for the nonsupersymmetric case does not depend on the presence of the scalar field. Finally, we show that the relativistic timereversal relation for the scalar field in the classical Schr\"odinger theory does not depend on the gauge condition, the spectral index, the amount of energy or on the timereversal relation.
 [4] faKiv:2104.08789 [pdf]

Feynman integrals and entanglement entropy in extended ChernSimons theoryComments: 29 pages, 12 figures, v2: minor corrections
We investigate the Feynman integrals in extended ChernSimons theory in the presence of a ChernSimons term. In particular, we consider the triplets of the generalized Feynman integrals, which are made explicit in the map of the Feynman function from two to four dimensions. We find that the triplets can be made explicit in the map of the Feynman function from two dimensions. The maps can be expressed in terms of the $\mathbb{Z}_3$functions of the generalized Feynman functions, which we find are well known in the setting of quantum mechanics and quantum field theory. We derive the maps from the Feynman functions of the generalized Feynman integrals.