BEGIN:VCALENDAR VERSION:2.0 X-WR-CALNAME:EventsCalendar PRODID:-//hacksw/handcal//NONSGML v1.0//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/New_York LAST-MODIFIED:20240422T053451Z TZURL:https://www.tzurl.org/zoneinfo-outlook/America/New_York X-LIC-LOCATION:America/New_York BEGIN:DAYLIGHT TZNAME:EDT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 DTSTART:19700308T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU END:DAYLIGHT BEGIN:STANDARD TZNAME:EST TZOFFSETFROM:-0400 TZOFFSETTO:-0500 DTSTART:19701101T020000 RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT CATEGORIES:College of Engineering,Lectures and Seminars,Thesis/Dissertation s DESCRIPTION:Abstract: Quark confinement is a phenomenon observed i n the strong interaction that cannot be derived using conventional perturb ative techniques and requires alternative approaches. Since the the-ory be comes strongly coupled in the infrared regime, perturbative methods fail t o reproduce the hadron mass spectrum and the approximately linear Regge be havior observed experimentally. This thesis investigates various approache s to quark confinement and develops criteria to classify different familie s of potentials based on whether they can produce confinement. The study b e-gins with the generalized SU(3) framework developed by Dr. Hsu, using th e quadratic confining potential that arises directly from generalized SU(3 ) symmetry. In this approach, confinement is described purely from the bou ndary gauge theory by constructing an effective quark potential from gener alized SU(3) transformations. The resulting energy spectrum is computed an d compared with the experimental baryon mass spectrum to assess how well t his framework captures confinement behavior. To further classify potential s capable of exhibiting confinement and to filter out non-viable cases, th e AdS/QCD soft-wall model is considered, in which confinement is encoded t hrough a dilaton profile that vanishes at the boundary and produces a disc rete spectrum through a Schr¨odinger-like equation. By fitting the radial nucleon trajectory, a holographic scale κ = 0.48 GeV is extracted, consi stent with phenomenological expectations for linear Regge behavior. Howeve r, in this model confinement is introduced through the choice of backgroun d fields rather than being derived dynamically from the spacetime geometry . The analysis is then extended to the Einstein–dilaton action, where so lving the coupled equa-tions of motion determines whether confinement emer ges self-consistently from gravity. In this framework, I also study IHQCD- type potentials and impose swampland- and bootstrap-inspired constraints, including conditions on RG flow monotonicity, background smoothness, spect ral positivity and discreteness, and stability under parameter variations, in order to filter out the class of viable confining models. This analysi s shows that only a restricted class of potentials satisfies all the impos ed constraints, leading to a progressive shrinking of the allowed paramete r space and providing a systematic way to identify viable confining models and reproduce linear Regge behavior. Advisor: Dr. J.P. Hsu, Department of Physics (jhsu@umassd.edu) Committe Members: Dr. David Kagan, Department o f PhysicsDr. Robert Fisher, Department of Physics Note:All PHY Graduate Students are encouraged to attend.\nEvent page: https://www.umassd.edu/eve nts/cms/physics-master-of-science-thesis-defense-by-anudeep-davuluru.php X-ALT-DESC;FMTTYPE=text/html:

Abstract:

Quar k confinement is a phenomenon observed in the strong interaction that cann ot be derived using conventional perturbative techniques and requires alte rnative approaches. Since the the-ory becomes strongly coupled in the infr ared regime\, perturbative methods fail to reproduce the hadron mass spect rum and the approximately linear Regge behavior observed experimentally.\n

This thesis investigates various approaches to quark confinement an d develops criteria to classify different families of potentials based on whether they can produce confinement. The study be-gins with the generaliz ed SU(3) framework developed by Dr. Hsu\, using the quadratic confining po tential that arises directly from generalized SU(3) symmetry. In this appr oach\, confinement is described purely from the boundary gauge theory by c onstructing an effective quark potential from generalized SU(3) transforma tions. The resulting energy spectrum is computed and compared with the exp erimental baryon mass spectrum to assess how well this framework captures confinement behavior.

To further classify potentials capable of ex hibiting confinement and to filter out non-viable cases\, the AdS/QCD soft -wall model is considered\, in which confinement is encoded through a dila ton profile that vanishes at the boundary and produces a discrete spectrum through a Schr¨odinger-like equation. By fitting the radial nucleon traj ectory\, a holographic scale κ = 0.48 GeV is extracted\, consistent with phenomenological expectations for linear Regge behavior. However\, in this model confinement is introduced through the choice of background fields r ather than being derived dynamically from the spacetime geometry.

The analysis is then extended to the Einstein–dilaton action\, where sol ving the coupled equa-tions of motion determines whether confinement emerg es self-consistently from gravity. In this framework\, I also study IHQCD- type potentials and impose swampland- and bootstrap-inspired constraints\, including conditions on RG flow monotonicity\, background smoothness\, sp ectral positivity and discreteness\, and stability under parameter variati ons\, in order to filter out the class of viable confining models.

This analysis shows that only a restricted class of potentials satisfies all the imposed constraints\, leading to a progressive shrinking of the al lowed parameter space and providing a systematic way to identify viable co nfining models and reproduce linear Regge behavior.

Advisor:
Dr. J.P. Hsu\, Department of Physics (jhsu@umassd.edu)

Committe M embers:
Dr. David Kagan\, Department of Physics
Dr. Robert Fish er\, Department of Physics

Note:
All PHY Graduate Students are encouraged to attend.

Event page: https://www.umassd.edu/events/cms/physics-master-of- science-thesis-defense-by-anudeep-davuluru.php

DTSTAMP:20260505T230805 DTSTART;TZID=America/New_York:20260506T130000 DTEND;TZID=America/New_York:20260506T143000 LOCATION:SENG 201 SUMMARY;LANGUAGE=en-us:Physics Master of Science Thesis Defense by Anudeep Davuluru UID:ab8bdd53ade88193ef5010777b74e73b@www.umassd.edu END:VEVENT END:VCALENDAR