6 papers
Wave-function parametrization of a probability measure
Leonardo Pedro
We show that the unitary operator on a separable Hilbert space is a parametrization of any conditional probability measure in a standard measure space. We propose unitary inference…
Quantization due to the time evolution, with applications to Quantum Yang-Mills theory, Quantum Gravity and Classical Statistical Field Theory
Leonardo Pedro
Quantum Yang-Mills theory, Classical Statistical Field Theory (for Hamiltonians which are non-polynomial in the fields, e.g. General relativistic statistical mechanics) and Quantum…
Relating the wave-function collapse with Euler's formula, with applications to Classical Statistical Field Theory
Leonardo Pedro
One attractive interpretation of quantum mechanics is the ensemble interpretation, where Quantum Mechanics merely describes a statistical ensemble of objects and not individual obj…
Scalar Fields in Particle Physics
Leonardo Pedro
Extending the scalar sector helps in studying the Higgs mechanism and some Standard Model problems. We implement the correspondence between the gauge-dependent elementary states an…
Relating spontaneous and explicit symmetry breaking in the presence of the Higgs mechanism
Leonardo Pedro
One common way to define spontaneous symmetry breaking involves explicit symmetry breaking. This definition can be used in any approach to Effective Field Theory, from perturbation…
Gauge invariance and the physical spectrum in the two-Higgs-doublet model
Axel Maas, Leonardo Pedro
Observable states are gauge-invariant. In a non-Abelian gauge theory, these are necessarily composite operators. We investigate the spectrum of these operators in the two-Higgs-dou…