SISSA OpenScience
SISSA Open Science is a digital repository providing free, open access to SISSA academic scientific production before it is refereed, according to SISSA Regulation on open access (approved in December, 2016).
This repository includes SISSA preprints, unpublished proceedings of conferences held in SISSA, lecture notes and presentations by SISSA professors.
If you want to include one or more of the aforementioned documents in the SISSA Open Science repository, please send your pdf file to library@sissa.it.
Before posting your preprint, remember to check your publisher's policy in the SHERPA/RoMEO database.
Communities in DSpace
Select a community to browse its collections.
- This collection holds the lecture notes of the SISSA members
- SISSA authors' not-referred manuscripts of the research output
- SISSA workshops: proceedings of the workshops organized and held in SISSA
Recent Submissions
Anomaly footprints in SM+Gravity
(2025-10-28) Bonora, L.
This is a follow-up of [8]. A simpli ed version of the SM plus gravity, put forward there,
is presented here and some of its aspects delved into. The basic structure consists of two sectors, left
and right, with chirally mirror fermions and scalars, as well as SU(3) and U(1) gauge elds, while the
SU(2) gauge elds as well as the metric are in common to both sectors. This structure is dictated
by the request to cancel all dangerous anomalies. The left sector consists of the fermion, gauge and
scalar elds of the SM, now minimally coupled to gravity. The right sector is a mirror image of the
left, with distinct elds, except the metric and the SU(2) gauge potentials. The rst new aspect is
the proposed and motivated interpretation of the right sector as the dark matter one. The second new
subject covered here is Weyl symmetry and its possible application to cosmology and its theoretical
fallout on unitarity and renormalization of the model. A background solution of the Weyl invariant
theory is derived, which may apply to the very early stages of the universe. This solution also suggests
interesting applications to the cosmological constant problem. On the quantum eld theory side the
subject of Weyl symmetry and Weyl anomalies is reviewed and, among other things, an application
of the WZ terms is illustrated to the problem of one-loop quantization of the model which may avoid
negative norm states.
Something Anomalies can tell about SM and Gravity
(2024-11-20) Bonora, l.; Giaccari, S.
This ia a review/research paper on anomalies applied to a bottom-up approach to standard
model and gravity. It is divided in two parts. The rst consists in a review proper of anomalies in
quantum eld theories. Anomalies are analyzed according to three di erent methods: a perturbative
one based on Feynman diagram, a non-perturbative one relying on the Schwinger-DeWitt approach
and, third, the one hinging on the Atiyah-Singer family's index theorem. The three methods are
applied both to chiral gauge anomalies and trace anomalies. The fundamental distinction that our
presentation leads to is between obstructive (O) and non-obstructive (NO) anomalies. The former are
tied to the non-existence of fermion propagators, which fatally maim the corresponding theory. In the
second part we apply this analysis to the SM and various of its extensions immersed in a gravitational
background, and nd that they all are plagued by a residual chiral trace anomaly. To completely
eliminate all kind of dangerous anomalies in SM-like theories we propose a somewhat unconventional
scheme, and exemplify it by means of an explicit model. The latter is a left-right symmetric model. We
embed it in a Weyl geometry to render it conformal-invariant. We then deal with some of its quantum
aspects, in particular its even (NO) trace anomalies and the means to preserve its confomal invariance
at the quantum level. We brie y review renormalization and unitarity in the framework of similar
models discussed in the existing literature. Finally we present a possible (conjectural) application of
the model to describe the junction between cosmology and quantum eld theory.
Γ-CONVERGENCE AND STOCHASTIC HOMOGENIZATION FOR FUNCTIONALS IN THE A-FREE SETTING
(2025-09-02) Dal Maso, Gianni; Ferreira, Rita; Fonseca, Irene
We obtain a compactness result for Γ-convergence of integral functionals defined on A-free
vector fields. This is used to study homogenization problems for these functionals without periodicity
assumptions. More precisely, we prove that the homogenized integrand can be obtained by taking limits
of minimum values of suitable minimization problems on large cubes, when the side length of these cubes
tends to +∞, assuming that these limit values do not depend on the center of the cube. Under the
usual stochastic periodicity assumptions, this result is then used to solve the stochastic homogenization
problem by means of the subadditive ergodic theorem.
Existence of spiral strategies for blocking fire spreading
(2025-08-07) Bianchini, Stefano; Zizza, Martina
A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
(2025-06-25) Dal Maso, Gianni; Donati, Davide
We associate to every function u ∈ GBD(Ω) a measure µu with values in
the space of symmetric matrices, which generalises the distributional symmetric gradient
Eu defined for functions of bounded deformation. We show that this measure µu admits
a decomposition as the sum of three mutually singular matrix-valued measures µau, µcu,
and µju, the absolutely continuous part, the Cantor part, and the jump part, as in the
case of BD(Ω) functions. We then characterise the space GSBD(Ω), originally defined
only by slicing, as the space of functions u ∈ GBD(Ω) such that µcu = 0.