M2R Physique Subatomique et Astroparticules

-Particle physics, hadronic and nuclear physics
-Astroparticle physics and cosmology
-Theoretical physics

French version

Since 2012, student grants (1000 euros/month) are available through the ENIGMASS laboratory for foreign students. Contact the responsible of the Master if interested.

General presentation

The program of the Master PSA (Physique Subatomique et Astroparticules) is built to further the development of the student as a professional physicist, either experimentalist or theoretician.

Lectures are given in elementary particle physics, fundamental interactions, relativistic quantum mechanics (gauge theories) and quantum field theory, hadronic and nuclear physics, general relativity and cosmology, astroparticle physics, physics beyond the standard model; together with the associated experimental methods and detectors.

A four-month trainning period within a research laboratory will take place after the courses.

Former students from the Master have obtained very good results when applying for a permanent position as a researcher or assistant professor at the French CNRS or universities.

Four courses of study are available : "Particles and the Universe", "Nuclei and particles", and "Instrumentation". As this is an "International Master", a few lectures will be given in English. However, most lectures will be given in French and the applicant should understand at least correctly the French language.

The poster of the Master :


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First course will be : August the 31th 2015, 2:00 PM, LPSC room 9

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Propositions for training periods

The propositions for the year 2008/2009 can be seen here (LPSC site).

Training periods can also be made in many other places, either in France of in foreign countries.

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Three courses of study

Particles and the Universe

This course of study is based on theoretical teachings in relativistic quantum mechanics, quantum field theory, and particle physics. Cosmology, astroparticle physics and an introduction to physics beyond the standard model (supersymmetry, string theory, loop quantum gravity) are also tought. Finally, there are some experimental lectures.

Nuclei and Particles

This course of study is based on theoretical teachings in relativistic quantum mechanics, quantum field theory, and particle physics. Nuclear physics, hadronic physics and plasma physics are also tought. Finally, there are some experimental lectures.

Accelerator Physics

This is the JUAS (Joint Universities Accelerator School) program.

Instrumentation ni particle Physics

This is the ESIPAP (European School of INstrumentation in Particle and Astroparticle Physics) program.



Name of the UE Particles and the Universe Nuclei and particles Accelerator physics Instrumentation
M2R PSA ects ects ects ects
Relativistic quantum mechanics 6 6    
Quantum field theory 6 6    
Particle physics I 3 3 3 3
Particle physics II 3 3    
Data analysis and simulation + TP 3 3 3 3
Detectors + experimental physics 3 3 3 3
Options : philosophy, etc. 3 3 3 3
Cosmology and general relativity 3      
Astroparticle physics 3      
Beyond the standard model (supersymmetry, strings, loops) 3      
Hadronic physics   3    
Advanced nuclear physics   3    
Plasma physics   3    
3 ECTS to be taken in M1 ou M2 Phy     3 3
JUAS or ESIPAP     18 18
Training period in a lab 24 24 24 24
Total ECTS 60 60 60 60

CONTENT OF THE LECTURES (in progress...) :

Quantum field theory (Pierre Salati) :

- Lagrangian and Hamiltonian formalisms
- Canonical quantization of the scalar Klein-Gordon field
- Quantization of charged scalars, fermionic fields and the electromagnetic field
- Interactig fields, S matrix and interaction Lagrangian, Wick theorem, Feynman diagrams
- Symmetries, group representations, Lie groups and SU(2), Goldstone theorem
- Eletroweak lagrangian in the GSW theory, Higgs mechanism (first approach)

Relativistic quantum mechanics and gauge theories (Jean-Philippe Guillet) :

- Relativistics mechanics and electrodynamics
- Spinless particles and fermions, symmetries in the Dirac equations
- Green functions, scalars, fermions
- Transition probabilities and scalar electrodynamics
- Quantum eletrodynamics
- Non-abelian gauge theories, quantum chromodynamics
- Electroweak interactions, Glashow-Salam-Weinberg model, and Higgs mechanism (second approach)

Particle physics I (Daniel Decamp):

- Classification of particles, quark model, conservation laws
- Relativistic mechanics, cross-sections, lifetime, phase space
- Discrete symmetries
- Introduction to the theory of electroweak interactions
- Strong interactions and the nucleon structure

Particle physics II (Daniel Decamp):

- GSW theory
- Netrino physics
- Phenomenology of the Higgs mechnism - QCD and colliders physics
- Heavy flavors and CP violation

Data analysis (Laurent Derome):

- Data analysis, probabilities, statistics
- Monte-Carlo methids, stochastic models

Physics beyond the standard model:

- introduction to supersymmetry
(Ingo Schienben) - introduction to string theory
(Henning Samtleben) - introduction to loop quantum gravity (Aurélien Barrau)

General relativity and cosmology (Aurélien Barrau):

- Equivalence principle, curvature
- Tensor analysis, covariant derivative
- Connection coefficiants, Riemann tensor
- Einstein equations
- FRW metric, explicit construction of the Friedmann equations
- Cosmological models
- Schwarzschild metric (black holes) and conformal transformations
- Observations and experiments

Astroparticles (François Montanet):

- Historical introduction
- Very high energy gamma-rays
- PCosmic-rays
- Extremely high energy cosmic-rays
- Neutrinos
- Dark matter
- Gravitational waves

Hadronic matter (Hubert Hansen):

- Introduction : quarks, gluons, confinment, hadronic matter phases
- QCD : chiral symmetry, Goldstone mechanism
- Collision of realtivistic heavy ions and quarks-gluons plasma
- effective models for hardonic physics

Advanced nuclear physics (Karim Bennaceur):

- Introduction : phenomenology and semi-classical description of the nucleus
- Methods for nuclear physics and applications
- Nuclear forces and structure
- Nuclear physics today

Detectors and experimental project (Elsa Lucotte-Merle et Laurent Derome et al.):

- Matter-radiation interactions
- Accelerators and colliders
- Particle detectors
- Analysis and simulation
- measure of the lifetime of the muon
- Analysis and interpretation of measurements

March-June period

Training perdiod in a research lab

sujets de stages

This training period is a 4-month full time research experience in a laboratory. Many proposals will be offered to the students of the Master. This can take place either in Grenoble or in another city (possibly outside France).

At the end of the training period, the student wites a 30-page report and gives a talk in front of other students and a team of researcher.

A few local labs :

Other French labs :

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1) In your file and when you write to the responsible of the Master, please be explicit about your whish ("Particles and the Universe", "Nuclei and particles", or "JUAS").

2) Give all the marks and ranks you have (even if non-official).

3) You can also add recommendation letters and mention your training period experiences in physics.

General conditions

This Master in opened to students with a Master-1 level of study. The submitted files will have to ge throug a validation comitte.

To apply

To apply you must :

  • Contact the responsible of the Master (see "contacts" above) and give him as many informations as possible, including a Curriculum Vitae
  • Look at the website : here
  • prerequisist

    First, you must like physics and be enthusiast about research ! Then, you are required to have good level in "master level" quantum mechanics, statistical physics, electromagnetism, etc.

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    Devenir et débouchés

    Au cours des dernières années, les anciens étudiants du Master PSA ont obtenu des résultats remarquables aux concours du CNRS et des Universités pour devenir chercheurs ou enseignant-chercheurs.

    Poursuites d'études et débouchés :

    Plus de 90% des étudiants ayant obtenu ce master poursuivent en thèse dans l'un des 18 laboratoires de l'IN2P3, au CEA/DAPNIA à Saclay et parfois dans un laboratoire à l'étranger (USA, Allemagne etc...). Une moitié environ des étudiants obtient un poste fixe de chercheur ou enseignant-chercheur. Pour l'autre moitié, l'accueil se fait dans l'enseignement supérieur, dans l'industrie de pointe, dans l'informatique, etc.

    Exemples de thèses réalisées par les étudiants de PSA ces dernières années :

  • Etude des propriétés du nucléon par des calculs de QCD sur réseau (avec J. Carbonnel)
  • Corrections radiatives et resommation pour le production des gauginos en supersymétrie (avec M. Klasen)
  • Etude des différentes composantes de la polarisation du ciel en vue de l'observation du Fond Diffus Cosmologique avec le satellite PLANCK (avec D. Santos)
  • Resommation des corrections radiatives QCD et violation de la saveur non-minimale pour la production de particules supersymétriques auprès des collisionneurs hadroniques (avec M. Klasen)
  • Relativité générale et champs quantiques: quelques aspects de physique des trous noirs et de cosmologie en gravité de Lovelock, espaces de Sitter et dimensions supplémentaires (avec A. Barrau)
  • La chromodynamique quantique au LHC (avec J. Collot)
  • Contribution du quark étrange à la structure électromagnétique du nucléon (avec S. Kox)
  • Analyse des anisotropies du fond diffus cosmologique (avec C. Renault)
  • Production et propagation de noyaux légers d'anti-matière dans la Galaxie (avec K. Protassov)
  • Etude des désintégrations radiatives des mésons B dans le détecteur ATLAS (avec F. Ohlsson-Malek)
  • Trous noirs primordiaux, rayonnement cosmique et développements instrumentaux pour l'imageur Tcherenkov de l'expérience spatiale AMS (avec A. Barrau)
  • Etudes de sûreté pour des filières innovantes de réacteurs nucléaires (avec R. Brissot)
  • et beaucoup d'autres...

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  • Calendrier, agenda et emploi du temps

    (Constamment) en cours de mise à jour

    Comment nous trouver

    La quasi totalité des cours du premier semestre ont lieu au LPSC (Laboratoire de Physique Subatomique et de Cosmologie). Le LPSC est l'un des laboratoires de l'IN2P3 (Institut National de Physique des Particules et de Physique Nucléaire) du CNRS, de l'Université Joseph Fourier et de l'INP-Grenoble.

    Pour les informations pratiques concernant la localisation et l'accès au LPSC, voyez ici . Pour plus d'information sur le laboratoire, référez vous au portail web du LPSC .


    Responsible of the MASTER

    Aurelien Barrau
    Laboratoire de Physique Subatomique et de Cosmologie (LPSC) - Grenoble
    53, av. des Martyrs
    F-38026 Grenoble, Cedex
    Tel: +33 476284179
    Fax: +33 476284004
    Renseignements à propos des inscriptions, equivalences etc : contactez la scolarité de l'UFR.

    Correspondant I.N.P.G. : E. Lucotte-Merle email
    Correspondant Univ. de Savoie : P. Salati email


    Beatrice Lasserre
    Maison des Magistères
    CNRS BP 166
    25 avenue des Martyrs
    F-38042 Grenoble Cedex 9
    Tél : 04 76 88 74 50
    Fax : 04 76 88 79 81
    email : here.

    Scolarité de l'UFR de Physique

    (*) Pour tout renseignements concernants les conditions d'inscription, la validation de diplômes, l'obtention de dossiers de candidature etc..., veuillez contacter en premier lieu la scolarité de l'UFR de physique :
    Tel : +33 4 76 51 41 39
    Permanence : +33 4 76 63 58 27
    Fax : +33 4 76 51 41 47
    Batiment A de Physique,
    715 Rue de la Houille Blanche
    38041 Grenoble CEDEX 9

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