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Local subtractions and renormalization-group monotonicity: exact defect and sphere flows
Francesco Scardino
We ask when the sphere free energy of a quantum field theory, after subtraction of its local counterterms in a fixed renormalization prescription, decreases monotonically along the…
Nonadditivity in Quantum Field Theory: Replica Energies, Scaling Filters, and the Renormalization Group
Giacomo Santoni, Francesco Scardino
Extensive systems have a simple thermodynamic signature: the dimensionless canonical free energy scales homogeneously with the size of the system. We show that the failure of this…
Constrained Symplectic Quantization II: The Free Scalar Field
Francesco Scardino, Martina Giachello, Giacomo Gradenigo
Constrained symplectic quantization is a functional formulation of quantum field theory in which quantum fluctuations are sampled through a deterministic Hamiltonian flow in an aux…
The scheme independent 3-sphere free energy is not a monotone F-function
Giacomo Santoni, Francesco Scardino
We study the natural scheme-independent quantity obtained from the three-sphere partition function of a -dimensional quantum field theory by removing all local counterterm a…
Constrained Symplectic Quantization I: the Quantum Harmonic Oscillator
Martina Giachello, Francesco Scardino, Giacomo Gradenigo
Symplectic quantization is a functional approach to quantum field theory that allows sampling of quantum fluctuations directly in Minkowski space-time by means of a generalized mic…