A recent analysis on the central compact object within HESS J1731-347 suggested unique mass and radius properties, rendering it a promising candidate for a self-bound star. In this present study, we examine the capability of quark stars composed of color-flavor locked quark matter to explain the latter object by using its marginalized posterior distribution and imposing it as a constraint on...
Axions arise in the context of solving the strong CP - problem in the Peccei-Quinn (PQ) theory, where an additional global U(1) symmetry is introduced in the SM QCD Lagrangian and is spontaneously broken, leading to the appearance of a pseudoscalar pseudo-Nambu-Goldstone boson known as the axion. The dark matter problem is another important challenge in modern physics, and its composition...
Baryon number violation is our most sensitive probe of physics beyond the
Standard Model. Its realization through heavy new particles can be conveniently encoded
in higher-dimensional operators that allow for a model-agnostic analysis. The unparalleled
sensitivity of nuclear decays to baryon number violation makes it possible to probe effective
operators of very high mass dimension, far...
The fully dressed quark propagator describes the behavior of strongly interacting quarks inside hadrons. Because of their strong coupling, in the low-momentum domain this propagator can be calculated only nonpertubatively, using either lattice or functional methods. The latter method leads to the quark Dyson-Schwinger equation, a nonlinear integral equation which is self-consistent in the...
In this thesis, we study the landau levels of electrons moving in a magnetic field with spherical symmetry produced by a Dirac monopole. The Electrons in this study are considered to move on the surface of a sphere—traditional approaches to solving this problem mostly involve solving Schrödinger’s equation. However, in my work, we find eigenfunctions using group theory. We construct ladder...
I will delve into the fascinating world of particle physics, exploring the fundamental particles and forces that constitute our universe. I will begin with an introduction to the Standard Model, detailing the classification and properties of elementary particles such as quarks, leptons, and gauge bosons. The role of the Higgs Boson and its significance will be highlighted. Following this, I...
Ultra-peripheral collisions (UPC) involve collisions at impact parameters large enough, such that there are no hadronic interactions - ions interact only electromagnetically, either via photonuclear or two-photon interactions. UPCs of heavy ions at the LHC are the energy frontier for electromagnetic interactions. They provide a unique opportunity to study various physics phenomena from a...
Reconceptualizing quantum mechanics through the lens of symplectic manifolds, this research introduces a transformative geometric formulation that challenges and extends the traditional framework. At the core of this approach is the innovative use of differential geometry and symplectic topology, which are indispensable for our comprehensive quantum mechanical model.
Addressing pioneering...
Liouville theory, a prominent example of exactly solvable models in two-dimensional conformal field theory (CFT), is essential for understanding quantum field theories and statistical mechanics in lower dimensions. It also plays a crucial role in non-critical string theory for formulating quantum gravity.
This work focuses on Liouville theory in a 1+1 dimensional cylindrical geometry, aiming...
In the thesis(/presentation) we have discussed many-electron system on Lowest Landau Level(LLL) on a sphere with magnetic monopole and derived four-fermionic interaction Hamiltonian using spherical coordinates. With fixed magnetic charge value we have created Fock states and showed that if Hamiltonian is written using some useful operators, it can be diagonalized. In order to achieve this...
I have participated in two PLANCKS preliminaries and one international final, since then I have been honoured to have organised twice as many PLANCKS events as I participated in. As a member of the UK and Ireland's PLANCKS Advisory Board, my role is to provide guidance to each year's OC and take the lead in organising the exam paper.
In this talk, the audience can choose what area of the...